Universal two-copy quantum state purification under depolarizing noise requires magic resources that scale linearly with the fidelity gain, establishing an exact resource law for odd dimensions and tight bounds for multi-qubit systems.
Gottesman,Stabilizer codes and quantum error cor- rection(California Institute of Technology, 1997)
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Entanglement purity in quadratic-phase states over finite fields is exactly determined by the rank of the phase matrix, with AME states existing precisely when all bipartition submatrices have full rank.
Log-depth circuits suffice for average-case single-copy stabilizer learning with t=O(log n), but worst-case adaptive single-copy learning requires exp(t) samples.
Symmetry-adapted Pauli-orbit and modified Gell-Mann bases make polynomial-dimensional dynamical Lie algebras practically simulable beyond free fermions.
A protocol for approximate error correction in quantum simulations of SU(2) lattice gauge theories that extracts gauge-violation syndromes via group QFT and applies iterative recovery sweeps called gauge cooling.
Logically encoded 24-photon FBQC resource states can be deterministically produced from 3 quantum emitters and 11 CNOT gates by using symmetries to reduce the search over photon emission orderings.
An STGNN dual-head decoder simultaneously corrects Pauli errors and identifies qubit-loss locations from syndrome histories, outperforming MWPM baselines on simulated surface-code memory.
Coupling to mesoscopic reservoirs generates temperature-increasing entropic barriers that suppress topological defect creation and transport, yielding three-regime correlation lengths in 1D Ising chains and double error reduction in finite-size 2D toric codes.
Non-stabilizerness in the Hubbard dimer is quantified via robustness of magic and stabilizer Renyi entropy, revealing the latter's failure on mixed states and distinguishing it from non-Gaussianity and superselected entanglement.
citing papers explorer
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A Nonstabilizerness Resource Law for Universal Quantum State Purification
Universal two-copy quantum state purification under depolarizing noise requires magic resources that scale linearly with the fidelity gain, establishing an exact resource law for odd dimensions and tight bounds for multi-qubit systems.
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Entanglement-Rank Duality in Quadratic Phase Quantum States
Entanglement purity in quadratic-phase states over finite fields is exactly determined by the rank of the phase matrix, with AME states existing precisely when all bipartition submatrices have full rank.
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Single-copy stabilizer learning: average case and worst case
Log-depth circuits suffice for average-case single-copy stabilizer learning with t=O(log n), but worst-case adaptive single-copy learning requires exp(t) samples.
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Enabling Lie-Algebraic Classical Simulation beyond Free Fermions
Symmetry-adapted Pauli-orbit and modified Gell-Mann bases make polynomial-dimensional dynamical Lie algebras practically simulable beyond free fermions.
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Approximate Error Correction for Quantum Simulations of SU(2) Lattice Gauge Theories
A protocol for approximate error correction in quantum simulations of SU(2) lattice gauge theories that extracts gauge-violation syndromes via group QFT and applies iterative recovery sweeps called gauge cooling.
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Protocol for Efficient Generation of Fusion-Based Quantum Computing Resource States from Quantum Emitters
Logically encoded 24-photon FBQC resource states can be deterministically produced from 3 quantum emitters and 11 CNOT gates by using symmetries to reduce the search over photon emission orderings.
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AI-Enabled Decoding of Qubit Loss for Quantum Error-Correcting Codes
An STGNN dual-head decoder simultaneously corrects Pauli errors and identifies qubit-loss locations from syndrome histories, outperforming MWPM baselines on simulated surface-code memory.
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Entropic Barriers and the Kinetic Suppression of Topological Defects
Coupling to mesoscopic reservoirs generates temperature-increasing entropic barriers that suppress topological defect creation and transport, yielding three-regime correlation lengths in 1D Ising chains and double error reduction in finite-size 2D toric codes.
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Quantum magic of strongly correlated fermions $-$ the Hubbard dimer
Non-stabilizerness in the Hubbard dimer is quantified via robustness of magic and stabilizer Renyi entropy, revealing the latter's failure on mixed states and distinguishing it from non-Gaussianity and superselected entanglement.