Vine codes generalize directional codes to open planar boundaries, delivering up to 28% fewer data/measure qubits at circuit distance 7 and better simulated performance than the surface code at 10^{-3} noise while using fewer total qubits.
Canonical reference
Topological phases with average symmetries: The decohered, the disordered, and the intrinsic,
Canonical reference. 77% of citing Pith papers cite this work as background.
481
Pith papers citing it
Background
77% of classified citations
citation-role summary
background 88
method 9
baseline 4
dataset 1
citation-polarity summary
representative citing papers
Classical codes plus SAT search yield no-go theorems limiting error detection in sub-8-qubit distillation and new minimal-qubit protocols for T-to-T (distances 4-5 on 10-11 qubits) and T-to-CCZ (distances 3-4 on 9-10 qubits).
In disordered 1D quantum spin ensembles with Ising symmetry, gapped phases exhibit a strict trade-off: they have either long-range Edwards-Anderson order or even-parity disorder, but not both.
Quantum coherences bind to hydrodynamic voids forming polaron-like objects, parametrically enhancing lifetimes and producing subdiffusive Green's functions in charge-conserving dynamics.
For PEPS with strong injectivity above a threshold, belief propagation finds fixed points efficiently and cluster-corrected BP approximates observables to 1/poly(N) error in poly(N) time, with local perturbations affecting the fixed point only locally.
Cryogenic shock exfoliation yields large rhombohedral graphene devices over 1300 square micrometers with 90% fabrication yield, mean free path exceeding 200 micrometers, and signatures of electron hydrodynamics.
Alterelectrics exhibit quadrupolar piezoelectricity, hyperbolic wave dispersion, and surface-dependent anisotropic electronic transport as an electric analog to altermagnets.
Genuine quantum scars survive in Floquet many-body systems with additional drive-induced scars and a stability diagram explained by classical Lyapunov exponents.
For PEPS states with loop-decay, BP with cluster corrections approximates local observables exponentially accurately, and loop-decay necessarily implies exponential decay of connected correlations, ruling out BP at critical points.
Engineered disorder drives a photonic lattice into a topological Anderson insulator regime that produces emergent chiral edge states for boundary-selective, ultranarrow lasing with enhanced robustness.
Shaping the pump in a honeycomb photonic-crystal laser creates a smooth potential that traps lasing states with reconfigurable real-space polarization singularities pinned to envelope critical points, while the momentum-space vortex at Gamma remains fixed.
Averaging symmetric Z_N quantum circuits over random noise produces a noisy surface code whose logical information is protected against symmetric errors up to a threshold, with charge-sharpening transitions coinciding with bulk confinement transitions that differ for N≤4 versus N>4.
Symmetry classification of measurement-inclusive fermionic dynamics with equivalence between many-body and single-particle schemes, plus post-selection-free adaptive circuits for topological states in four classes.
A sample-optimal quantum state tomography algorithm that is memory-efficient by using unitary Schur sampling with streaming access to samples.
Thousands of foundry-fabricated quantum-dot spin-photon interfaces demonstrate state-of-the-art efficiency, stable near-unity purity, seven-partite entanglement, and cross-source indistinguishability.
Derives improved mode-independent sample complexity bounds O(η log η) for fermionic classical shadows on particle-preserving operators and Slater determinant overlaps.
Experimental observation of nonlinear dependence of ion loss rate on spin polarization in Ba+ immersed in two-component Li Fermi gas, consistent with antisymmetrization restricting recombination channels.
Proposes relative-entropy-based measures to diagnose chirality in mixed-state topological phases after showing pure-state diagnostics are unreliable.
Broadband laser pulses enhance two-plasmon decay instability and hot electron generation via stochastic intensity spikes, as identified in experiments and particle-in-cell simulations.
Analytical derivation shows mutual relations between density, magnetic, and pairing susceptibilities in the Hubbard model, revealing a degeneracy between d-wave pairing and d-density wave instabilities near the metal-insulator transition that is lifted by frustration.
Quasiprobability models in Bayesian networks generalize to produce all non-signalling correlations for a broad class of networks and conjecturally recover the nested Markov model.
Simulations show update mechanisms decide coexistence versus dominance of upstream and downstream reciprocators, with a robust optimal network degree maximizing upstream reciprocity across conditions.
Derives exact propagator via generating functions for age-dependent switching particles and reports marginal CLT breakdown with Var(x_T) scaling as T²/log T at a=1.
Quenching the hopping term in the strong-coupling half-filled Hubbard model creates a prethermal state with effective temperature reduced by (t_final/t_initial)^2 for doublon-conserving operators, persisting exponentially long in (U/t)^2.
citing papers explorer
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Vine Codes: Low-Overhead Quantum LDPC Codes on a Planar Square Grid
Vine codes generalize directional codes to open planar boundaries, delivering up to 28% fewer data/measure qubits at circuit distance 7 and better simulated performance than the surface code at 10^{-3} noise while using fewer total qubits.
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Exploring the landscape of compact magic-state distillation factories
Classical codes plus SAT search yield no-go theorems limiting error detection in sub-8-qubit distillation and new minimal-qubit protocols for T-to-T (distances 4-5 on 10-11 qubits) and T-to-CCZ (distances 3-4 on 9-10 qubits).
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Long-lived local quantum coherences from hydrodynamic large deviations
Quantum coherences bind to hydrodynamic voids forming polaron-like objects, parametrically enhancing lifetimes and producing subdiffusive Green's functions in charge-conserving dynamics.
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Algorithmic Locality via Provable Convergence in Quantum Tensor Networks
For PEPS with strong injectivity above a threshold, belief propagation finds fixed points efficiently and cluster-corrected BP approximates observables to 1/poly(N) error in poly(N) time, with local perturbations affecting the fixed point only locally.
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Belief Propagation and Tensor Network Expansions for Many-Body Quantum Systems: Rigorous Results and Fundamental Limits
For PEPS states with loop-decay, BP with cluster corrections approximates local observables exponentially accurately, and loop-decay necessarily implies exponential decay of connected correlations, ruling out BP at critical points.
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Holographically Emergent Gauge Theory in Symmetric Quantum Circuits
Averaging symmetric Z_N quantum circuits over random noise produces a noisy surface code whose logical information is protected against symmetric errors up to a threshold, with charge-sharpening transitions coinciding with bulk confinement transitions that differ for N≤4 versus N>4.
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Free-Fermion Dynamics with Measurements: Topological Classification and Adaptive Preparation of Topological States
Symmetry classification of measurement-inclusive fermionic dynamics with equivalence between many-body and single-particle schemes, plus post-selection-free adaptive circuits for topological states in four classes.
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Sample Optimal and Memory Efficient Quantum State Tomography
A sample-optimal quantum state tomography algorithm that is memory-efficient by using unitary Schur sampling with streaming access to samples.
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Industry-ready spin-photon interfaces for hybrid photonic quantum computing
Thousands of foundry-fabricated quantum-dot spin-photon interfaces demonstrate state-of-the-art efficiency, stable near-unity purity, seven-partite entanglement, and cross-source indistinguishability.
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Particle-preserving fermionic shadows with mode-independent sample complexity
Derives improved mode-independent sample complexity bounds O(η log η) for fermionic classical shadows on particle-preserving operators and Slater determinant overlaps.
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Measures of Chirality in Mixed-State Topological Phases
Proposes relative-entropy-based measures to diagnose chirality in mixed-state topological phases after showing pure-state diagnostics are unreliable.
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Bounding Classical and Quantum Correlations in Bayesian Networks with Quasiprobabilities
Quasiprobability models in Bayesian networks generalize to produce all non-signalling correlations for a broad class of networks and conjecturally recover the nested Markov model.
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Prethermal cooling with many-body quantum quenches
Quenching the hopping term in the strong-coupling half-filled Hubbard model creates a prethermal state with effective temperature reduced by (t_final/t_initial)^2 for doublon-conserving operators, persisting exponentially long in (U/t)^2.
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Optimal multi-spectral squeezing via deterministic 2D-phase optimization
A deterministic 2D-phase optimization algorithm raises visibility from 76% to 84% and squeezing from -2.08 dB to -2.64 dB in a waveguide multi-spectral squeezing setup by provably reaching the global visibility maximum with linear scaling in pixel count.
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Quantum statistical enhancement of collective behaviour in a bosonic active Ising model
Bosonic quantum statistics markedly enhance flocking and aster formation in a 1D quantum active Ising model on a lattice.
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Induced Resource Theories and Harvesting via Quantum Probes
Introduces induced resource theories with precise conditions for interpreting quantum probe harvesting as evidence of resources in environments without complete resource-theoretic descriptions.
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Statistical Mechanics and Symmetries of Non-Abelian Anyon Proliferation: From Deformation to Decoherence
Stat-mech models with symmetries capture how proliferation of two non-Abelian anyons in D4 topological order parasitically condenses a shared Abelian anyon, destroying topological order while the trivial phase remembers which anyons condensed.
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Enhancing Many-Body Chaos via Entropy Injection from Environment
Entropy injection from an environment enlarges the effective Hilbert space and enhances many-body chaos, demonstrated via analytical computation of relaxation and Lyapunov exponent in a solvable complex Brownian SYK model.
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Enhanced qubit performance by integrating altermagnets into superconducting qubit designs
Microscopic calculations indicate that altermagnetic Josephson junctions in transmon qubits yield decoherence protection and high anharmonicity, with strain proposed to tune gate speeds.
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Polytopic Quantum Resource Theories: Geometry and Structures
Introduces polytopic quantum resource theories (PQRTs) with a tensorial representation, shows equivalence of those with fixed pure extremal points under physical maps up to normalization, and studies their categorical structures.
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Ancilla-Efficient QSAMPLE Preparation for Reversible Markov Chains
A one-ancilla framework for QSAMPLE preparation via GQSP-based selective phase compilation embedded in fixed-point amplitude amplification, improving overlap dependence to inverse square-root minimum overlap.
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Beyond Commutativity: Redesigning Trotter Decomposition via Local Symmetry
A local SU(2) symmetry-based product formula clusters Hamiltonian terms into at most four classes for exact two-qubit implementations, cutting commutator errors and gate count in many-body simulations.
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No measurement induced phase transition in the entanglement dynamics of monitored non-interacting one-dimensional fermions in a disordered or quasiperiodic potential
Large-scale numerics and nonlinear sigma model mapping demonstrate that monitored non-interacting 1D fermions in disordered or quasiperiodic potentials remain in the area-law phase for all monitoring and disorder strengths, with no MIPT.
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Generalized master equation for driven quantum oscillators: microscopic origin of nonlinear dissipation and asymmetric resonances
A generalized master equation retaining full nonlinear dynamics in the dissipator produces nonlinear damping, drive-dependent dissipation, suppression of bistability, and asymmetric resonances in driven Kerr oscillators.
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Quantum chaos with graphs: a silicon photonics plateform
A silicon photonics waveguide network implements quantum graphs, experimentally confirming that strongly chaotic versions exhibit random matrix theory spectral statistics unlike less chaotic ones.
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Thermodynamic incompleteness of state dynamics in Markovian transport
Markovian state dynamics are thermodynamically incomplete because reservoir-channel assignments can vary while leaving the master equation unchanged, yielding different heat currents, entropy production, and noise.
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Memory-assisted multimode microwave-to-optical transduction
First experimental demonstration of memory-assisted on-demand multimode microwave-to-optical transduction with 0.3-0.4 noise photons at 460-620 microsecond storage in a 171Yb3+:Y2SiO5 crystal at 30 mK.
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Composite quantum gates simultaneously compensated for multiple errors
New symmetric five-pulse and longer composite sequences are constructed that compensate amplitude, detuning, and duration errors for X and Hadamard gates via derivative cancellation in the Cayley-Klein parametrization and numerical infidelity minimization.
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pygridsynth: A fast numerical tool for ancilla-free Clifford+T synthesis
pygridsynth provides O(log(1/ε)) ancilla-free Clifford+T synthesis with a new partial-decomposition technique for n≥3 reducing T-count constants to (21/8·4^n - 9/2·2^n + 9)log₂(1/ε) + o(log(1/ε)) and a mixed-synthesis approach empirically lowering error to ε²/(2n).
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Feature-level analysis and adversarial transfer in rotationally equivariant quantum machine learning
Rotationally equivariant quantum models can rely on vulnerable invariant statistics such as ring-averaged intensities, leaving them susceptible to classical transfer attacks, but suppressing the associated symmetry sectors substantially improves robustness.
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Quantum Search without Global Diffusion
A recursive construction preserves O(sqrt(N)) quantum search complexity with local operations on tensor-decomposable partitions, eliminating the need for global diffusion via degeneracy in reflection angles.
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General framework for anticoncentration and linear cross-entropy benchmarking in photonic quantum advantage experiments
A representation-theoretic framework computes LXEB scores and proves anticoncentration for Fock-state Boson Sampling in the saturated regime using irrep decompositions of bosonic spaces.
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Quantum Mpemba Effect in Non-Equilibrium Quantum Thermometry
Optimal initial states for non-equilibrium quantum thermometry exhibit the quantum Mpemba effect and thermalize faster than most states in Markovian models.
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Efficient classical training of model-free quantum photonic reservoir
Classical light training of photonic quantum reservoirs enables accurate model-free estimation of single-qubit observables and two-qubit entanglement witnesses on unseen quantum states.
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Network Nonlocality with Separable Measurements
Separable measurements augmented with classical feedforward suffice to certify full network nonlocality and minimal network nonclassicality while enabling device-independent randomness quantification.
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Geometry-Induced Long-Range Correlations in Recurrent Neural Network Quantum States
Dilated RNN wave functions induce power-law correlations for the critical 1D transverse-field Ising model and the Cluster state, unlike the exponential decay of conventional RNN ansatze.
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On Lorentzian symmetries of quantum information
Lorentzian symmetries emerge from preserving linear entropy in qubits, yielding SL(2,C) invariants for spectral quantities and the Minkowski metric from singlet-state correlations.
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A Unified Poisson Summation Framework for Generalized Quantum Matrix Transformations
A dual Fourier-PSF and contour-PSF framework resolves the smoothness-sparsity trade-off for efficient quantum simulation of singular and holomorphic matrix functions.
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Non-stabilizerness and U(1) symmetry in chaotic many-body quantum systems
Exact results show U(1) symmetry substantially suppresses non-stabilizerness in random states, with different leading scaling from entanglement near zero charge density.
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The typicality of symmetry-induced entanglement
Most symmetric separable states with conserved charge N are not symmetrically separable, with number entanglement showing Gaussian concentration around a strictly positive value.
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On Non-Existence of Stabilizer Absolutely Maximally Entangled States in Even Local Dimensions
Stabilizer AME states do not exist for N=4n qudits of even local dimension d; optimal mixed AME states of purity 1/2 exist for d=6.
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Compactifying the Electronic Wavefunction II: Quantum Estimators for Spin-Coupled Generalized Valence Bond Wavefunctions Applied to H4
An ancilla-free quantum measurement scheme using local Clifford rotations and Pauli observables evaluates SCGVB matrix elements, demonstrated on H4 dissociation with results matching classical references.
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Many-Body Entanglement Properties of Finite Interacting Fermionic Hamiltonians
Ground states of fermionic Hamiltonians limited to M-body interactions cannot achieve maximal M-body entanglement.
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Quantum Approximate Optimization of Integer Graph Problems and Surpassing Semidefinite Programming for Max-k-Cut
QAOA on qudit-encoded integer graph problems outperforms the Frieze-Jerrum SDP for Max-k-Cut at p≤4 in regimes k=3 d≤10 and k=4 d≤40, while a new degree-of-saturation heuristic beats both on GSet but may be overtaken by QAOA at p≤20.
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Phase Estimation with Compressed Controlled Time Evolution
A compression protocol for controlled time evolution of local translationally invariant Hamiltonians achieves O(t polylog(t N/ε)) circuit depth with additive control overhead, demonstrated via 414 CNOT gates for iterative phase estimation on a 6×6 triangular lattice and sub-1% energy errors on a 4×4
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Relativistic Maxwell-Bloch Equations with Applications to Astrophysics
Relativistic Maxwell-Bloch equations are derived showing that radiating system response and coherence between emitters are preserved across reference frames, with timescales and intensity transforming as expected relativistically.
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Certifying localizable quantum properties with constant sample complexity
A new framework certifies global quantum properties including multipartite entanglement, circuit complexity, and quantum magic on small subsystems with constant sample complexity via local Pauli measurements.
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Measurement-Based Quantum Diffusion Models
Measurement-based quantum diffusion models are introduced to recover pure and mixed quantum states via weak measurements, quantum score matching, and Petz recovery maps with error bounds, bridging to classical stochastic reversals.
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Rise and fall of nonstabilizerness via random measurements
Analytical and numerical study of stabilizer nullity and Rényi entropies in monitored Clifford circuits shows quantized decay for computational measurements and size-dependent relaxation to a non-trivial steady state for rotated bases.
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Disentangling strategies and entanglement transitions in unitary circuit games with matchgates
Introduces a minimal matchgate circuit representation for fermionic Gaussian states together with a Yang-Baxter update algorithm, then maps out entanglement transitions in unitary circuit games under braiding and generic matchgate rules.