A layered gauging method constructs (k+1)-dimensional topological orders, including fracton models like the X-cube, from k-dimensional symmetries such as subsystem, anomalous, or noninvertible ones.
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Fault-tolerant quantum computation by anyons
15 Pith papers cite this work. Polarity classification is still indexing.
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representative citing papers
Union-find decoder for surface code achieves finite threshold under circuit-level stochastic errors with quasi-polylog parallel runtime bound.
A new framework maps microscopic inputs to universal properties of generic symmetry-enriched TQSLs and establishes a bijective crystalline equivalence principle between lattice-plus-internal and internal-only symmetry data.
The paper introduces a form-domain criterion and proves a sufficiency theorem that identifies which gapped observer sectors remain semiclassically admissible in Euclidean de Sitter gravity on the sphere.
Genuine multi-entropy in the toric code reduces to topological entanglement entropy for stabilizer states at low replica index but captures independent topological data at n=4 and for non-stabilizer states.
Majorana fermion motion serves as a primitive for braiding-based logical gates in stabilizer codes, enabling denser packing and numerical outperformance of lattice surgery for 2-qubit Clifford gates under near-term noise.
InAs-Pb hybrid nanowire tetron achieves ~20 s parity switching time with h/2e-periodic bimodal capacitance shifts, using a new rf technique to resolve wire-end states at μeV precision.
A mapping of the Jaynes-Cummings-Hubbard model onto the spin-1/2 Quantum Link Model via tuned polaritonic resonances in cavity arrays enables analog simulation of U(1) LGT dynamics with matter, verified by exact diagonalization.
Deterministic QITE with a Gauss-law-reduced Pauli pool reproduces DMRG ground-state energies of (2+1)-D pure Z2 lattice gauge theory to within 0.1% for ladders of up to 32 qubits and coupling λ ∈ [0.5, 5].
In disordered topological superconductor antidot vortices, Majorana zero mode probability density variance is twice that of CdGM states because MZM wave functions are real while CdGM ones are complex.
Derives explicit non-perturbative renormalization relations between bare parameters and physical observables in waveguide QED to handle IR and UV cutoffs in simulations.
Benchmarks gradient-ascent algorithms for constrained free energy minimization on quantum Heisenberg models and stabilizer codes, with applications to thermal state design and fixed-temperature quantum encoding.
Decoherence on abelian topological order is modeled as a temporal defect in double TQFT driving boundary anyon condensation transitions classified by Lagrangian subgroups of the doubled order.
New algorithms based on Dicke states enable qubit-efficient quantum simulations of collective neutrino oscillations with demonstrated performance on classical and quantum hardware.
Real observers remove the de Sitter imaginary phase only if their fluctuations share the conformal factor's negative modes; metric-independent sectors factorize and preserve the phase.
citing papers explorer
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Constructing Bulk Topological Orders via Layered Gauging
A layered gauging method constructs (k+1)-dimensional topological orders, including fracton models like the X-cube, from k-dimensional symmetries such as subsystem, anomalous, or noninvertible ones.
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Proof of a finite threshold for the union-find decoder
Union-find decoder for surface code achieves finite threshold under circuit-level stochastic errors with quasi-polylog parallel runtime bound.
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Microscopic universal theory of symmetry-enriched topological quantum spin liquids
A new framework maps microscopic inputs to universal properties of generic symmetry-enriched TQSLs and establishes a bijective crystalline equivalence principle between lattice-plus-internal and internal-only symmetry data.
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Spectral Admissibility of Real Observers in Euclidean de Sitter Gravity
The paper introduces a form-domain criterion and proves a sufficiency theorem that identifies which gapped observer sectors remain semiclassically admissible in Euclidean de Sitter gravity on the sphere.
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Genuine Multi-Entropy in the Toric Code
Genuine multi-entropy in the toric code reduces to topological entanglement entropy for stabilizer states at low replica index but captures independent topological data at n=4 and for non-stabilizer states.
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Practical gates by Majorana fermion motion
Majorana fermion motion serves as a primitive for braiding-based logical gates in stabilizer codes, enabling denser packing and numerical outperformance of lattice surgery for 2-qubit Clifford gates under near-term noise.
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20 Second Parity Lifetime in an InAs--Pb Tetron Device
InAs-Pb hybrid nanowire tetron achieves ~20 s parity switching time with h/2e-periodic bimodal capacitance shifts, using a new rf technique to resolve wire-end states at μeV precision.
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Photonic Analog Quantum Simulation of (1+1)-Dimensional $U(1)$ Lattice Gauge Theory with Dynamical Matter
A mapping of the Jaynes-Cummings-Hubbard model onto the spin-1/2 Quantum Link Model via tuned polaritonic resonances in cavity arrays enables analog simulation of U(1) LGT dynamics with matter, verified by exact diagonalization.
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Ground state preparation in $(2+1)$-dimensional pure $\mathbb{Z}_2$ lattice gauge theory via deterministic quantum imaginary time evolution
Deterministic QITE with a Gauss-law-reduced Pauli pool reproduces DMRG ground-state energies of (2+1)-D pure Z2 lattice gauge theory to within 0.1% for ladders of up to 32 qubits and coupling λ ∈ [0.5, 5].
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Statistical Signatures of Majorana Zero Modes in Disordered Topological Superconductor Antidot Vortices
In disordered topological superconductor antidot vortices, Majorana zero mode probability density variance is twice that of CdGM states because MZM wave functions are real while CdGM ones are complex.
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Renormalization Treatment of IR and UV Cutoffs in Waveguide QED and Implications to Numerical Model Simulation
Derives explicit non-perturbative renormalization relations between bare parameters and physical observables in waveguide QED to handle IR and UV cutoffs in simulations.
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Constrained free energy minimization for the design of thermal states and stabilizer thermodynamic systems
Benchmarks gradient-ascent algorithms for constrained free energy minimization on quantum Heisenberg models and stabilizer codes, with applications to thermal state design and fixed-temperature quantum encoding.
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Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions
Decoherence on abelian topological order is modeled as a temporal defect in double TQFT driving boundary anyon condensation transitions classified by Lagrangian subgroups of the doubled order.
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Quantum Simulation of Collective Neutrino Oscillations using Dicke States
New algorithms based on Dicke states enable qubit-efficient quantum simulations of collective neutrino oscillations with demonstrated performance on classical and quantum hardware.
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When do real observers resolve de Sitter's imaginary problem?
Real observers remove the de Sitter imaginary phase only if their fluctuations share the conformal factor's negative modes; metric-independent sectors factorize and preserve the phase.