Mathematical etudes on quantum computation

DOI10.1090/conm/789/15840OpenAlexW4386077476MaRDI QIDQ6049765

Alexei V. Bocharov

Publication date: 15 September 2023

Published in: The Diverse World of PDEs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/789/15840

Mathematics Subject Classification ID

Quantum computation (81P68) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Quantum algorithms and complexity in the theory of computing (68Q12) Quantum gates (81P65)

Cites Work

• Notes on Landauer's principle, reversible computation, and Maxwell's demon
• Quantum error correction. Symmetric, asymmetric, synchronizable, and convolutional codes
• The evaluation of irreducible polynomial representations of the general linear groups and of the unitary groups over fields of characteristic 0
• Semi-classical derivation of the spin-orbit coupling for the Dirac particle in an accelerated frame
• Fault-tolerant quantum computation by anyons
• Quantum communication networks
• On metaplectic modular categories and their applications
• Theory of braids
• Practical Approximation of Single-Qubit Unitaries by Single-Qubit Quantum Clifford and T Circuits
• Adiabatic quantum state generation and statistical zero knowledge
• The Complexity of Black-Box Ring Problems
• Irreversibility and Heat Generation in the Computing Process
• A method for obtaining digital signatures and public-key cryptosystems
• Quantum computations: algorithms and error correction
• Error Correcting Codes in Quantum Theory
• Quantifying Entanglement
• Quantum Error Correction and Orthogonal Geometry
• Topological quantum computation
• Efficient discrete approximations of quantum gates
• Witness algebra and anyon braiding
• A single quantum cannot be cloned
• Braid Groups
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