Efficient Quantum Algorithms for Testing Symmetries of Open Quantum Systems

DOI10.1142/s1230161223500178arXiv2309.02515OpenAlexW4388442195MaRDI QIDQ6181205

Mark M. Wilde, Marina Radulaški, Unnamed Author, Unnamed Author

Publication date: 2 January 2024

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.02515

zbMATH Keywords

quantum algorithmssymmetry testingHilbert-Schmidt distanceLindbladian evolution

Mathematics Subject Classification ID

Hypothesis testing in multivariate analysis (62H15) Hamilton's equations (70H05) Quantum measurement theory, state operations, state preparations (81P15) General theory of distance geometry (51K05) Open systems, reduced dynamics, master equations, decoherence (81S22) Quantum algorithms and complexity in the theory of computing (68Q12) Probability in computer science (algorithm analysis, random structures, phase transitions, etc.) (68Q87) Quantum channels, fidelity (81P47)

Cites Work

• Unnamed Item
• Unnamed Item
• A SWAP gate for qudits
• A generalization of Schur-Weyl duality with applications in quantum estimation
• Completely positive maps and entropy inequalities
• On the generators of quantum dynamical semigroups
• The transition probability in the state space of a \(^*\)-algebra
• An application of Bell's inequalities to a quantum state extension problem
• A note on covariant dynamical semigroups
• Entanglement measures and the Hilbert-Schmidt distance
• Quantum systems, channels, information. A mathematical introduction
• Quantum Proofs
• Quantum metrology from a quantum information science perspective
• Zero-knowledge against quantum attacks
• Extremal covariant positive operator valued measures
• Implementation of group-covariant positive operator valued measures by orthogonal measurements
• Reference frames, superselection rules, and quantum information
• Contractivity of positive and trace-preserving maps under Lp norms
• The Stability of Matter in Quantum Mechanics
• Information and quantum measurement
• The Theory of Quantum Information
• Positive operator valued measures covariant with respect to an irreducible representation
• Separability properties of tripartite states with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>U</mml:mi><mml:mo>⊗</mml:mo><mml:mi>U</mml:mi><mml:mo>⊗</mml:mo><mml:mi>U</mml:mi></mml:math>symmetry
• Efficient Quantum Algorithms for Simulating Lindblad Evolution
• The theory of manipulations of pure state asymmetry: I. Basic tools, equivalence classes and single copy transformations
• Entanglement spectroscopy with a depth-two quantum circuit
• Covariant quantum Markovian evolutions
• Probability Inequalities for Sums of Bounded Random Variables
• On the Structure of Entanglement Witnesses and New Class of Positive Indecomposable Maps
• The Intrinsic Parity of Elementary Particles
• Quantum Information Theory
• Quantum Information Theory
• Quantum entanglement \& purity testing: a graph zeta function perspective

This page was built for publication: Efficient Quantum Algorithms for Testing Symmetries of Open Quantum Systems