Found 614 Documents (Results 1–100)
Emergent generalized symmetries in ordered phases and applications to quantum disordering. (English) Zbl 07920990
Communication protocols and QECC from the perspective of TQFT. II: QECCs as spacetimes. (English) Zbl 07917791
Quantum robustness of the toric code in a parallel field on the honeycomb and triangular lattice. (English) Zbl 07917663
Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model. (English) Zbl 07917424
Quantum state preparation of topological chiral spin liquids via Floquet engineering. (English) Zbl 07915018
Wegner’s Ising gauge spins versus Kitaev’s Majorana partons: mapping and application to anisotropic confinement in spin-orbital liquids. (English) Zbl 07913153
Higher-group symmetry of (3+1)D fermionic \(\mathbb{Z}_2\) gauge theory: logical CCZ, CS, and T gates from higher symmetry. (English) Zbl 07912417
Topological analysis of the complex SSH model using the quantum geometric tensor. (English) Zbl 07885513
Narain CFTs from quantum codes and their \(\mathbb{Z}_2\) gauging. (English) Zbl 07877434
MSC:
81-XX
Superselection-resolved entanglement in lattice gauge theories: a tensor network approach. (English) Zbl 07877384
MSC:
81-XX
Electric-magnetic duality and \(\mathbb{Z}_2\) symmetry enriched abelian lattice gauge theory. (English) Zbl 07871273
Hyperbolic quantum color codes with normal subgroup structure derived from the Reidemeister-Schreier method. (English) Zbl 07855898
Evolving quantum circuits. (English) Zbl 1542.81332
New three- and four-dimensional toric and burst error-correcting quantum codes. (English) Zbl 1542.81333
Non-semisimple Levin-Wen models and Hermitian TQFTs from quantum (super)groups. (English) Zbl 1535.57011
Reviewer: Mee Seong Im (Annapolis)
On sampling determinantal and Pfaffian point processes on a quantum computer. (English) Zbl 1539.81033
Minimal nondegenerate extensions. (English) Zbl 1522.18030
Reviewer: Hirokazu Nishimura (Tsukuba)
Gaining insights on anyon condensation and 1-form symmetry breaking across a topological phase transition in a deformed toric code model. (English) Zbl 07906548
Thermal pure matrix product state in two dimensions: tracking thermal equilibrium from paramagnet down to the Kitaev honeycomb spin liquid state. (English) Zbl 07906501
Probing fractional statistics in quantum simulators of spin liquid Hamiltonians. (English) Zbl 07906489
Constructing non-abelian quantum spin liquids using combinatorial gauge symmetry. (English) Zbl 07905002
Partons as unique ground states of quantum Hall parent Hamiltonians: the case of Fibonacci anyons. (English) Zbl 07904978
Higher-form subsystem symmetry breaking: subdimensional criticality and fracton phase transitions. (English) Zbl 07903665
Knots and entanglement. (English) Zbl 07902839
Majorana lattice gauge theory: symmetry breaking, topological order and intertwined orders all in one. (English) Zbl 07902454
Effective fractonic behavior in a two-dimensional exactly solvable spin liquid. (English) Zbl 07900018
Emergent XY* transition driven by symmetry fractionalization and anyon condensation. (English) Zbl 07900017
Good quantum LDPC codes with linear time decoders. (English) Zbl 07844640
Saha, Barna (ed.) et al., Proceedings of the 55th annual ACM SIGACT symposium on theory of computing, STOC ’23, Orlando, FL, USA, June 20–23, 2023. New York, NY: Association for Computing Machinery (ACM). 905-918 (2023).
MSC:
68Qxx
Classification of gapped ground state phases in quantum spin systems. (English) Zbl 07823100
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 4142-4161 (2023).
Generalised Winograd schema and its contextuality. (English) Zbl 07822823
Mansfield, Shane (ed.) et al., Proceedings of the 20th international conference on quantum physics and logic, QPL, Paris, France, July 17–21, 2023. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 384, 187-202 (2023).
Nowhere to go but high: a perspective on high-dimensional expanders. (English) Zbl 1535.05277
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4842-4871 (2023).
Fusion rules and shrinking rules of topological orders in five dimensions. (English) Zbl 07795925
MSC:
81-XX
One port impedance quantization for a class of annihilation operator linear quantum systems. (English) Zbl 1537.81020
Correlation inequalities for the uniform eight-vertex model and the toric code model. (English) Zbl 1527.82005
MSC:
82B20
An algebraic quantum field theoretic approach to toric code with gapped boundary. (English) Zbl 1531.81215
Exotic field theories for (hybrid) fracton phases from imposing constraints in foliated field theory. (English) Zbl 07754757
MSC:
81-XX
Invertible subalgebras. (English) Zbl 1533.81052
On low rank fusion rings. (English) Zbl 1521.18016
Boundary and domain wall theories of 2d generalized quantum double model. (English) Zbl 07744305
MSC:
81-XX
Connectomes and properties of quantum entanglement. (English) Zbl 07744160
MSC:
81-XX
Mathematical etudes on quantum computation. (English) Zbl 07738957
Krasil’shchik, I. S. (ed.) et al., The diverse world of PDEs. Algebraic and cohomological aspects. Alexandre Vinogradov memorial conference. Diffieties, cohomological physics, and other animals, Independent University of Moscow and Moscow State University, Moscow, Russia, December 13–17, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 789, 77-99 (2023).
Quantum Monte Carlo for economics: stress testing and macroeconomic deep learning. (English) Zbl 1531.91266
Invertible bimodule categories and generalized Schur orthogonality. (English) Zbl 1519.18011
Reviewer: Hirokazu Nishimura (Tsukuba)
Anyonic defect branes and conformal blocks in twisted equivariant differential (TED) \(K\)-theory. (English) Zbl 1539.81108
Logical qubit behavior model and fast simulation for surface code. (English) Zbl 1542.81254
MSC:
81P68
Topological phase transitions and Majorana zero modes induced by the periodic potential in an antiferromagnetic chain. (English) Zbl 1519.82059
The boundary phase transitions of the 2+1D \(\mathbb{Z}_N\) topological order via topological Wick rotation. (English) Zbl 07716716
Quantum double models coupled to matter fields: a detailed review for a dualization procedure. (English) Zbl 1527.81064
Modified toric code models with flux attachment from Hopf algebra gauge theory. (English) Zbl 1528.70033
MSC:
70S15
Anyonic topological order in twisted equivariant differential (TED) \(K\)-theory. (English) Zbl 1521.19003
Dirac gauge theory for topological spinors in \(3+1\) dimensional networks. (English) Zbl 1525.83012
Design of quantum error correcting code for biased error on heavy-hexagon structure. (English) Zbl 1542.81324
On the construction of new toric quantum codes and quantum burst-error-correcting codes. (English) Zbl 1542.81315
Ground state degeneracy on torus in a family of \(\mathbb{Z}_N\) toric code. (English) Zbl 1512.81070
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