Communication protocols and QECC from the perspective of TQFT. II: QECCs as spacetimes

Topological field theories in quantum mechanics (81T45) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Computational stability and error-correcting codes for quantum computation and communication processing (81P73) LOCC, teleportation, dense coding, remote state operations, distillation (81P48)

Cites Work

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Topological quantum field theories
Microscopic description of 2D topological phases, duality, and 3D state sums
Quantum computation with Turaev-Viro codes
\(2+1\)-dimensional gravity as an exactly soluble system
Holomorphic factorization for a quantum tetrahedron
Quantum field theory and the Jones polynomial
The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
A combinatorial approach to topological quantum field theories and invariants of graphs
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Chern-Simons theory, coloured-oriented braids and link invariants
Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
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Holonomic quantum computation
Wigner symbols and combinatorial invariants of three-manifolds with boundary
An efficient upper bound of the rotation distance of binary trees
Spin network quantum simulator
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Fault-tolerant quantum computation by anyons
Invariants of 3-manifolds via link polynomials and quantum groups
Computing Turaev-Viro invariants for 3-manifolds
How device-independent approaches change the meaning of physical theory
Everything you always wanted to know about LOCC (but were afraid to ask)
Topological M-theory as unification of form theories of gravity
Theory of Kähler gravity.
Quantum Computation and Quantum Information
Non-Abelian anyons and topological quantum computation
Reference frames, superselection rules, and quantum information
Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
Quantum geometry and quantum algorithms
Quantum geometry from phase space reduction
A polynomial invariant for knots via von Neumann algebras
State sum invariants of compact 3-manifolds with boundary and 6j-symbols
Quantum Gravity
Sequential Measurements, Topological Quantum Field Theories, and Topological Quantum Neural Networks

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