Quantum fidelity and relative entropy between unitary orbits

Abstract

Fidelity and relative entropy are two significant quantities in quantum information theory. We study the quantum fidelity and relative entropy under unitary orbits. The maximal and minimal quantum fidelity and relative entropy between two unitary orbits are explicitly derived. The potential applications in quantum computation and information processing are discussed.

11 pages, LaTeX, publised version in JPA

References in corpus (6)

• Quantum Computation as Geometry
• Quantum speed limit for physical processes
• Robust Quantum Error Correction via Convex Optimization
• Geometry of Quantum Computation with Qutrits
• Quantum state discrimination: a geometric approach
• Time optimal quantum control of two-qubit systems

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• A lower bound of quantum conditional mutual information
• Unified entropies and quantum speed limits for nonunitary dynamics
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• Fidelity between a bipartite state and another one undergoing local unitary dynamics
• Modular zero modes and sewing the states of QFT
• Average entropy of a subsystem over a global unitary orbit of a mixed bipartite state
• Optimal Bounds on Functions of Quantum States under Quantum Channels
• A new fidelity of quantum channel evolution and its geometric interpretation
• Quantum marginal inequalities and the conjectured entropic inequalities