Duality of averaging of quantum states over arbitrary symmetry groups revealing Schur–Weyl duality
DOI10.1088/1751-8121/acf4d5arXiv2208.07689OpenAlexW4386245020MaRDI QIDQ6096907
Janusz Przewocki, Marcin Markiewicz
Publication date: 15 September 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.07689
Schur-Weyl dualitynoiseless subsystemsaveraging of quantum statesstochastic local operations and classical communication
Stochastic network models in operations research (90B15) Averaging method for ordinary differential equations (34C29) Subsystems of classical logic (including intuitionistic logic) (03B20) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16) Regularization by noise (60H50)
Cites Work
- Unnamed Item
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- A generalization of Schur-Weyl duality with applications in quantum estimation
- On number of partitions of an integer into a fixed number of positive integers
- Expression of a tensor commutation matrix in terms of the generalized Gell-Mann matrices
- Entanglement and the geometry of two qubits
- Schur-Weyl duality for higher levels
- Unitary designs and codes
- Schur-Weyl duality for the Clifford group with applications: property testing, a robust Hudson theorem, and de Finetti representations
- A uniqueness theorem for entanglement measures
- Criterion for SLOCC equivalence of multipartite quantum states
- Reference frames, superselection rules, and quantum information
- Relativistically invariant quantum information
- Evenly distributed unitaries: On the structure of unitary designs
- Schur-Weyl duality for orthogonal groups
- Symmetry, Representations, and Invariants
- Amenability: A survey for statistical applications of hunt-stein and related conditions on groups
- Theory of Quantum Error Correction for General Noise
- The mixed two qutrit system: local unitary invariants, entanglement monotones, and the SLOCC group $SL(3,{\mathbb {C}})$
- Convexity of momentum map, Morse index, and quantum entanglement
- Brauer algebras, symplectic Schur algebras and Schur-Weyl duality
- Canonical and micro-canonical typical entanglement of continuous variable systems
- On construction of finite averaging sets for SL(2,C) via its Cartan decomposition
- Lie groups beyond an introduction
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