The Hilbert Space Post @hilbertspacepost.bsky.social · 2hThat’s it for the daily selection. If you enjoyed it, please consider giving us a like or reposting to support our content. Thanks! (Remember that these papers are published on arXiv before undergoing any peer review.) 000
The Hilbert Space Post @hilbertspacepost.bsky.social · 2hThe Cornucopia architecture combines an ultra-high-rate quantum error-correcting code with reusable logical-operation gadgets and modular connectivity to enable universal fault-tolerant computation. arxiv.org/abs/2610.19073arxiv.orgA modular quantum computer based on Cornucopia codesUltra-high-rate quantum error correction codes can store many logical qubits in a single code block with few physical qubits. A fault-tolerant quantum computer, however, also requires a universal set ... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 2hA new article proposes a programmable trapped-ion quantum simulator that combines displaced Green's-function spectroscopy with spin-phonon correlation measurements to reveal how local versus long-range interactions shape polaron energy spectra and excitation mobility. arxiv.org/abs/2610.18970arxiv.orgProgrammable Polaron Models and Tomography in Trapped-Ion Quantum SimulatorsStrong coupling between mobile charge carriers or excitons and lattice vibrations gives rise to polarons: quasiparticles formed by charge carriers dressed by a cloud of phonon excitations. Polaron for... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 2hTailoring dynamical decoupling to the noise bias of a nuclear-spin qudit can reduce control overhead from quadratic to linear scaling, improve state coherence by factors of 5–10, and extend a spin-cat logical qubit's coherence time to 225 ms. arxiv.org/abs/2610.19676arxiv.orgDynamical Decoupling of Nonclassical States in a Biased-Noise Spin QuditEncoding quantum information in $d$-dimensional systems (qudits) with $d>2$ offers appealing new directions for resource-efficient quantum computing. However, protecting the coherence of nonclassical ... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 2hA new article demonstrates the first kilometer-scale transport of thousands of ions in a linear Paul trap, establishing a foundation for portable trapped-ion quantum technologies. arxiv.org/abs/2610.20487arxiv.orgDemonstration of a mobile ion-trap quantum deviceTrapped-ion devices are being investigated for transportable applications, including the transfer of exotic charged particles between laboratories and the development of portable quantum technologies.... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 2hLogical gate set tomography is a method for reconstructing the detailed noise of quantum error-corrected logical gates. It can distinguish stochastic, coherent, and non-Markovian errors while helping trace logical errors back to their physical origins. arxiv.org/abs/2610.19034arxiv.orgLogical gate set tomographyQuantum error correction (QEC) can strongly suppress noise, but predicting whether a computation succeeds requires understanding not only how much effective noise persists after QEC, but what form tha... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 2hIn the October 15th edition: - Logical gate set tomography - Mobile ion-trap quantum device - New ultra-high-rate quantum error correction code - ... More details and links below: 110
The Hilbert Space Post @hilbertspacepost.bsky.social · 19hThank you. It was obvious that the paper was written by AI, but it seems that the results are also fake. Therefore, we deleted the post for that article. Sorry for not having detected it earlier. 110
The Hilbert Space Post @hilbertspacepost.bsky.social · 14/10/2026That’s it for the daily selection. If you enjoyed it, please consider giving us a like or reposting to support our content. Thanks! (Remember that these papers are published on arXiv before undergoing any peer review.) 000
The Hilbert Space Post @hilbertspacepost.bsky.social · 14/10/2026The authors establish a connection between quantum Fisher information (QFI) and the spectral form factor (SFF), showing that QFI can provide a more statistically stable route to probing quantum-chaos than direct SFF measurements. arxiv.org/abs/2610.16181arxiv.orgProbe Signatures of Quantum Chaos with Quantum SensingThe spectral form factor (SFF), which is the Fourier transform of the two-point spectral correlation, is a fundamental diagnostics of quantum chaos. Nevertheless, its experimental detection in quantum... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 14/10/2026Magic-free certification uses deterministic trap circuits that replace magic states with stabilizer states to assess whether a universal fault-tolerant quantum circuit meets a specified logical-error threshold. arxiv.org/abs/2610.16401arxiv.orgMagic-Free Certification of Logical Error Rates in Universal Fault-Tolerant CircuitsAs quantum hardware enters the fault-tolerant regime, algorithms are beginning to be executed on encoded qubits, yet scalable certification of how well they run remains an open problem. Here we introd... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 14/10/2026A new work develops and validates improved benchmarking and tensor-network tomography methods to map, monitor, and model noise in a square-lattice superconducting quantum processor. arxiv.org/abs/2610.18000arxiv.orgDevelopment and experimental implementation of noise characterisation techniques on a superconducting quantum processorNoise characterisation not only enables error mitigation but also provides valuable information about the intrinsic performance of a quantum device, identifying dominant error contributions and boundi... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 14/10/2026QuasiStim combines sampling reduction and faster stabilizer simulation to model realistic quantum error-correction noise more efficiently, while quantifying when the commonly used Pauli-twirling approximation gives misleading predictions of logical error rates. arxiv.org/abs/2610.15975arxiv.orgScalable Exact Non-Pauli Noise Simulation for Fault-Tolerant Quantum CircuitsFault-tolerant quantum design relies on simulating noisy quantum error correction (QEC) circuits with hundreds to thousands of physical qubits and large circuit depths. High-throughput stabilizer simu... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 14/10/2026Using an analog superconducting quantum processor with up to 728 qubits, researchers simulate one-, two-, and three-dimensional topological insulators and reconstruct both their localized boundary states and bulk topological invariants. arxiv.org/abs/2610.16046arxiv.orgMeasuring higher-order bulk topology in a programmable quantum simulatorTopological insulators lie outside the standard Landau paradigm: Instead of being characterized by local order parameters and spontaneous symmetry breaking, their defining properties are encoded in th... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 14/10/2026PPVM is an open-source quantum-computing simulator that combines efficient quantum simulation methods with realistic hardware noise and classical control, helping researchers test how large fault-tolerant quantum computers may behave in practice. arxiv.org/abs/2610.18225arxiv.orgPPVM: A Circuit Simulation Framework for Digital Twins of Quantum ProcessorsQuantum computers are approaching the early fault-tolerant regime. Verifying the next generation of quantum hardware requires joint emulation of the quantum processor, hardware noise, and classical co... 000
The Hilbert Space Post @hilbertspacepost.bsky.social · 14/10/2026In the October 14th edition: - Digital twins of quantum processors - 256-qubit NV diamond quantum processor - Scalable exact QEC simulation - Experimental noise characterisation - Probing quantum chaos with quantum sensing - ... More details and links below: 110
The Hilbert Space Post @hilbertspacepost.bsky.social · 13/10/2026That’s it for the daily selection. If you enjoyed it, please consider giving us a like or reposting to support our content. Thanks! (Remember that these papers are published on arXiv before undergoing any peer review.) 000
The Hilbert Space Post @hilbertspacepost.bsky.social · 13/10/2026The spectral dimension of a sparse quantum network governs both how entanglement spreads and how well quantum error-correcting codes protect information. Carefully chosen intermediate connectivity balances error correction and hardware constraints. arxiv.org/abs/2610.12597arxiv.orgError correction and quantum information spreading on sparse random graphsQuantum error-correcting codes on graph geometries beyond regular euclidean lattices have emerged as a promising route toward robust quantum information processing. A major challenge in quantum error ... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 13/10/2026A new paper shows how trapped-ion quantum simulators can use the signs of effective vibrational frequencies to switch between excitation exchange and pair creation, enabling the study of squeezing, motional entanglement, and more complex quantum states. arxiv.org/abs/2610.12579arxiv.orgCorrelated Pair Creation with Positive- and Negative-Frequency Oscillators in a Trapped-Ion Quantum SimulatorSpin-dependent forces enable independent control over the effective frequencies of bosonic motional modes and their coupling strengths to spins in trapped-ion spin-boson quantum simulators. We show th... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 13/10/2026A new efficient search algorithm discovers improved quantum error-correcting code configurations tailored to specific noise and decoding strategies. Even small changes to a surface code can significantly improve its performance without requiring additional qubits. arxiv.org/abs/2610.13589arxiv.orgDecoder- and Noise-Aware Optimization Framework for Clifford-Deformed Quantum Error-Correcting CodesPractical fault-tolerant quantum computing requires qubit-efficient quantum error correction (QEC). Clifford deformations (CDs) modify the stabilizers of a QEC code to lower its logical error rate at ... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 13/10/2026A digital quantum processor successfully simulates collisions between quasiparticles, doublons and holons, in the Fermi–Hubbard model, reproducing theoretical scattering probabilities and probing the entanglement generated by their interactions. arxiv.org/abs/2610.13946arxiv.orgAn entangling Hubbard quasiparticle collider on a digital quantum processorScattering of quasiparticles provides direct access to the interactions that govern strongly correlated systems. In this work, we realize the quasiparticle scattering experiment of the Fermi-Hubbard m... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 13/10/2026A new work uses programmable Rydberg-atom arrays to show how quantum fluctuations can create new magnetic phases in a frustrated spin system, demonstrating the potential of quantum simulators to explore complex many-body physics beyond classical predictions. arxiv.org/abs/2610.12800arxiv.orgAnalog quantum simulation of Shastry-Sutherland Ising materialsFrustrated magnets host rich emergent behavior because competing interactions generate dense manifolds of low-energy states. The Ising Shastry-Sutherland model is a paradigmatic setting, motivated exp... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 13/10/2026Here is the selection of yesterdays articles: - Analog quantum simulation of complex magnetic materials - Quantum simulation of quasiparticle collisions - Quantum error correcting code beyond Euclidean geometry - ... More details and links below: 110
The Hilbert Space Post @hilbertspacepost.bsky.social · 12/10/2026No daily selection today because of Canadian Thanksgiving. The Hilbert Space Post will be back tomorrow! 000
The Hilbert Space Post @hilbertspacepost.bsky.social · 09/10/2026That’s it for the daily selection. If you enjoyed it, please consider giving us a like or reposting to support our content. Thanks! (Remember that these papers are published on arXiv before undergoing any peer review.) 000
The Hilbert Space Post @hilbertspacepost.bsky.social · 09/10/2026An experimental measurement-device-independent quantum key distribution protocol corrects multiple source-preparation imperfections, achieving secure quantum communication over a record 303.37 km. arxiv.org/abs/2610.11428arxiv.orgExperimental Measurement-Device-Independent Quantum Key distribution with Flawed State-Preparation over 300 kmQuantum key distribution (QKD) promises theoretically secure communication. However, it encounters challenges in implementation security and performance due to inevitable device imperfections. Since t... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 09/10/2026A scalable quantum-assisted approach to complex optimization problems combines partitioned QAOA sampling on IBM quantum processors with classical optimization and feasibility repair, outperforming simulated annealing and random sampling. arxiv.org/abs/2610.10772arxiv.orgScaling Quantum Optimization to the Thousand-Qubit Scale with Distributed Quantum SamplingThe Minimum Birkhoff Decomposition (MBD) seeks a sparse weighted sum of matchings and is a challenging optimization problem with applications in network scheduling and energy trading. We scale a quant... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 09/10/2026An ultracold fermionic alkaline-earth atom platform can faithfully reproduce programmable multi-orbital Hubbard Hamiltonians by using long-lived clock states, tunable tunneling, interactions, and coherent driving. It was illustrated for the electronic structure of La3Ni2O7. arxiv.org/abs/2610.10713arxiv.orgQuantum simulation of material-specific Hubbard models with alkaline-earth atomsA long-term goal of quantum simulation is to faithfully reproduce the low-energy Hamiltonians of correlated quantum materials, establishing a direct connection between solid-state experiment, electron... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 09/10/2026A new paper demonstrates fault-tolerant quantum memory and logical operations on a 156-qubit superconducting processor by using noise-informed decoding and post-selection to improve logical error probabilities by up to 35%. arxiv.org/abs/2610.11658arxiv.orgError-Corrected Memory and Logic on a Heavy-Hex Superconducting-Qubit ProcessorLarge quantum computations require high-fidelity error-corrected memory and fault-tolerant logical operations. To achieve these with superconducting circuits, quantum processors will need many compone... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 09/10/2026A new work demonstrates a photonic quantum link that generates heralded Bell pairs between a trapped ion and a silicon-vacancy center in diamond, achieving four times the entanglement rate of the fastest previous trapped-ion photonic link. arxiv.org/abs/2610.10705arxiv.orgQuantum Networking at the Speed of Quantum Computation: Kilohertz Entanglement in a Heterogeneous Quantum SystemDistributed quantum computing requires rapid, high-fidelity entanglement between qubits in separate processor modules. Photonic links between single-atom qubits provide switchable, long-range connecti... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 09/10/2026Virtual error cancellation is a quantum error mitigation method that uses syndrome records and classical post-processing to achieves over three orders of magnitude of error suppression in universal quantum computations, without prior noise characterization. arxiv.org/abs/2610.12400arxiv.orgMeasure Now, Mitigate Later: Virtual Error Cancellation for Logical Quantum CircuitsEarly fault-tolerant quantum algorithms are a key step in scalable quantum computing, but are ultimately constrained by residual, uncorrectable logical errors. Logical quantum error mitigation can eli... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 09/10/2026The authors combine tricycle codes with transversal CCZ gates and single-shot qLDPC codes to produce high-fidelity CCZ magic states with logical error rates as low as 10^{-9}. arxiv.org/abs/2610.10731arxiv.orgSingle-shot magic state factories for quantum LDPC codesQuantum low-density parity-check (qLDPC) codes can substantially reduce the qubit overhead of fault-tolerant quantum computation, but any useful architecture based on such codes also requires an effic... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 09/10/2026In the October 9th edition: - Magic state factories for quantum LDPC codes - Logical quantum error mitigation - High-speed quantum network - quantum key distribution over 300 km - ... More details and links below: 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 08/10/2026That’s it for the daily selection. If you enjoyed it, please consider giving us a like or reposting to support our content. Thanks! (Remember that these papers are published on arXiv before undergoing any peer review.) 000
The Hilbert Space Post @hilbertspacepost.bsky.social · 08/10/2026Anharmonic vibrational energies can be obtained on today's quantum hardware by combining compact one-hot vibrational encodings, classically informed quantum circuits, and SQD configuration recovery. arxiv.org/abs/2610.09532arxiv.orgVibrational Sample-Based Quantum Diagonalization with Unitary-Cluster-Jastrow Ansätze on IBM QPUsWe extend sample-based quantum diagonalization (SQD) to anharmonic vibrational spectra and use it to benchmark how vibrational ansätze scale on present-day hardware under a direct one-hot encoding (up... 110
The Hilbert Space Post @hilbertspacepost.bsky.social · 08/10/2026Quantum computers can sample the most important configurations of enormous anharmonic vibrational Hilbert spaces and combine them with classical diagonalization to predict molecular energies and infrared spectra far beyond the size accessible to full diagonalization. arxiv.org/abs/2610.09616arxiv.org 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 08/10/2026Rydberg quantum simulators with naturally available Ising (ZZ) interactions can reproduce the physics of the much richer Heisenberg XXZ model by encoding spins as domain walls, opening access to important many-body dynamics and phase transitions. arxiv.org/abs/2610.10357arxiv.orgQuantum simulation of the Heisenberg XXZ model on a Rydberg atom arrayA major application of analog quantum hardware is quantum simulation, where a system evolves over time according to a given Hamiltonian. One challenge when implementing the Hamiltonian on a programmab... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 08/10/2026In the October 8th edition: - Analog quantum simulation of complex Heisenberg model - Quantum simulation of molecular vibration More details and links below: 110
The Hilbert Space Post @hilbertspacepost.bsky.social · 07/10/2026That’s it for the daily selection. If you enjoyed it, please consider giving us a like or reposting to support our content. Thanks! (Remember that these papers are published on arXiv before undergoing any peer review.) 000
The Hilbert Space Post @hilbertspacepost.bsky.social · 07/10/2026Molecular quantum-chemistry calculations can be divided across multiple real quantum processors and run in parallel with near-ideal scaling, demonstrating a practical path toward future HPC systems where many QPUs collectively tackle large chemistry and materials problems. arxiv.org/abs/2610.07702arxiv.orgDemonstration of Parallel Multi-QPU Execution for Fragment-Based Quantum Chemistry Using On-Premises HardwareFragment molecular orbital (FMO) quantum chemistry offers a natural route to parallel quantum computing: large molecular calculations can be decomposed into smaller quantum subproblems that can, in pr... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 07/10/2026A new work introduces a "continuous-variable flag" oscillator that records and reveals the otherwise hidden errors caused by ancilla-qubit decay during bosonic operations, enabling those errors to be corrected. arxiv.org/abs/2610.07139arxiv.orgProtecting bosonic codes from ancilla-induced errors with continuous-variable flagsBosonic quantum error correction represents a route towards significant hardware overhead reduction for fault-tolerant quantum computation. However, controlling quantum harmonic oscillators that encod... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 07/10/2026A new paper evaluates the fault-tolerant cost of Lindblad-based quantum cooling for preparing ground states and finds that accurately resolving energy transitions remains the dominant challenge, requiring on the order of 100,000 of T gates even for a 36-site Hubbard-system. arxiv.org/abs/2610.08667arxiv.orgFault-tolerant resource estimation for ground-state preparation via Lindblad simulationRecent advances in algorithms for simulating Lindblad dynamics have clarified their theoretical potential for state preparation, but their practicality in the early fault-tolerant regime and beyond re... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 07/10/2026Universal fault-tolerant quantum computation can be achieved using only depth-one gate layers and standard error correction, without magic-state distillation, by switching among different transversal structures that collectively evade the usual Eastin–Knill limitation. arxiv.org/abs/2610.06730arxiv.orgQubit CSS codes with Universal Transversal GatesThe Eastin-Knill theorem rules out a universal set of transversal logical gates on any code that detects single-qubit errors. The theorem constrains one partition of the qubits at a time. We show that... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 07/10/2026A new work generalizes quantum signal processing from functions of a single operator to arbitrary bounded polynomials of many non-commuting operators and even quantum channels, providing a framework for building a much wider class of quantum algorithms. arxiv.org/abs/2610.08714arxiv.orgQuantum Algorithms for Multivariable Polynomial Transformations: From Efficient Synthesis to Quantum Channel TransformationsPolynomial transformations are basic primitives in quantum algorithms: quantum signal processing and singular value transformation compile univariate polynomials into circuits with query complexity es... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 07/10/2026Large arrays of exchange-coupled electron spins can coherently explore huge many-body quantum state spaces, exhibit strong information scrambling, and achieve an exceptionally low effective error of about 3 x 10^{-4} per native exchange interaction. arxiv.org/abs/2610.07393arxiv.orgBenchmarking exchange-only control of a 48-spin singlet manifoldExchange-only quantum computing benefits from high fidelity and straightforward control afforded by the exchange interaction. However, independently controllable qubits must be encoded into subsystems... 110
The Hilbert Space Post @hilbertspacepost.bsky.social · 07/10/2026In the October 7th edition: - Exchange-only quantum computing - Universal Transversal Gates - Correcting ancilla-induced errors in bosonic codes - Parallel multi-QPU quantum chemistry calculation - ... More details and links below: 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 06/10/2026That’s it for the daily selection. If you enjoyed it, please consider giving us a like or reposting to support our content. Thanks! (Remember that these papers are published on arXiv before undergoing any peer review.) 000
The Hilbert Space Post @hilbertspacepost.bsky.social · 06/10/2026A new review provides an accessible overview of VQE, covering choices in encoding, ansatz design, optimization, and measurement, while highlighting practical challenges from noise, error mitigation, and hardware constraints. arxiv.org/abs/2610.06448arxiv.orgA Practical Introduction to VQE: Methods, Challenges, and Applications in Physics and ChemistryThe Variational Quantum Eigensolver (VQE) has become a central hybrid quantum-classical method for addressing electronic structure and materials science problems on near-term quantum hardware. As rese... 110
The Hilbert Space Post @hilbertspacepost.bsky.social · 06/10/2026Multi-yoked surface codes stack high-rate error-correcting codes on top of the surface code in a hierarchical way, preserving local planar connectivity while reducing the physical-qubit cost of fault-tolerant quantum computing by roughly a factor of four. arxiv.org/abs/2610.04613arxiv.orgMulti-Yoked Surface CodesThe surface code is the leading candidate for fault-tolerant quantum computation owing to its planar nearest-neighbor connectivity, high threshold, and efficient decoding, but its low encoding rate de... 100
The Hilbert Space Post @hilbertspacepost.bsky.social · 06/10/2026QSP polynomials should be designed not only to approximate the desired function accurately, but also to resist errors in the encoded Hamiltonian and minimize fault-tolerant gate costs, leading to substantially cheaper quantum implementations. arxiv.org/abs/2610.03885arxiv.orgRobustness of Quantum Signal Processing and Resource-aware Polynomial DesignQuantum signal processing (QSP) realizes operator functions through polynomial transformations of a finite degree. In addition to function approximation errors, realistic implementations incur algorit... 100