Time-energy tradeoff in unambiguous state discrimination POVM

Abstract

Unambiguous non-orthogonal state discrimination has fundamental importance in quantum information and quantum cryptography. The discrimination is carried out by POVM generalized measurements. For this process, we find a tradeoff between the needed energy resources and the evolution time, and express it in terms of action-like cost inequality. We find the realization that minimizes this action-like cost and show that in this case the cost is determined by the maximal population transfer from the system to the ancilla needed for the POVM implementation.

References in corpus (6)

• The Naimark dilated PT-symmetric brachistochrone
• Distance Bounds on Quantum Dynamics
• Time-dependent Hamiltonians with 100% evolution speed efficiency
• Implementation of quantum operations on single photon qudits
• Implementing general measurements on linear optical and solid-state qubits
• Resources needed for non-unitary quantum operations

Cited by in corpus (3)

• Quantum Equivalence and Quantum Signatures in Heat Engines
• Physical time-energy cost of a quantum process determines its information fidelity
• Time-Energy Costs of Quantum Measurements