Optical realization of optimal unambiguous discrimination for pure and mixed quantum states

Abstract

Quantum mechanics forbids deterministic discrimination among non-orthogonal states. Nonetheless, the capability to distinguish nonorthogonal states unambiguously is an important primitive in quantum information processing. In this work, we experimentally implement generalized measurements in an optical system and demonstrate the first optimal unambiguous discrimination between three nonorthogonal states, with a success rate of 55%, to be compared with the 25% maximum achievable using projective measurements. Furthermore we present the first realization of unambiguous discrimination between a pure state and a nonorthogonal mixed state.

Some minor revisions

References in corpus (1)

• Unambiguous discrimination of mixed states

Cited by in corpus (58)

• Optimal discrimination of quantum operations
• Direct Characterization of Quantum Dynamics
• Geometric quantum discord with Bures distance
• Unambiguous discrimination among quantum operations
• Realization of single-qubit positive operator-valued measurement via a one-dimensional photonic quantum walk
• Experimental characterization of qutrits using SIC-POVMs
• Universal discriminative quantum neural networks
• Experimental access to higher-dimensional entangled quantum systems using integrated optics
• Quantum correlations and distinguishability of quantum states
• Experimental minimum-error quantum-state discrimination in high dimensions
• Binary search trees for generalized measurement
• Unifying approach to the quantification of bipartite correlations by Bures distance
• Tomographic measurements on superconducting qubit states
• Scalable fiber integrated source for higher-dimensional path-entangled photonic quNits
• Experimental Realization of Maximum Confidence State Discrimination for the Extraction of Quantum Information
• Realization of a quantum autoencoder for lossless compression of quantum data
• Minimax quantum state discrimination
• Distributed Quantum Metrology with a Single Squeezed-Vacuum Source
• A proposed testbed for detector tomography
• Unambiguous discrimination among oracle operators
• Optical-state truncation and teleportation of qudits by conditional eight-port interferometry
• Optimal bounded-error strategies for projective measurements in non-orthogonal state discrimination
• Strategies for optimal single-shot discrimination of quantum measurements
• Quantum Ensemble Classification: A Sampling-based Learning Control Approach
• Discriminating single-photon states unambiguously in high dimensions
• Optimal unambiguous filtering of a quantum state: An instance in mixed state discrimination
• Maximum-confidence discrimination among symmetric qudit states
• Quantum State Discrimination Using Noisy Quantum Neural Networks
• A general approach to physical realization of unambiguous quantum-state discrimination
• Interference Visibility and Wave-Particle Duality in Multi-Path Interference
• Experimental scheme for unambiguous discrimination of linearly independent symmetric states
• Simultaneous measurement of two non-commuting quantum variables: Solution of a dynamical model
• All possible bipartite positive-operator-value measurements of two-photon polarization states
• Experimental quantum phase discrimination enhanced by controllable indistinguishability-based coherence
• Minimum-error discrimination of entangled quantum states
• Unambiguous discrimination between two unknown qudit states
• Overcoming unambiguous state discrimination attack with the help of Schrödinger Cat decoy states
• Quantum state discrimination in a PT-symmetric system
• Experimental quantum state discrimination using the optimal fixed rate of inconclusive outcomes strategy
• Experimental investigation of wave-particle duality relations in asymmetric beam interference
• Online optimal exact identification of a quantum change point
• Enhanced discrimination of high-dimensional quantum states by concatenated optimal measurement strategies
• Identification of a reversible quantum gate: assessing the resources
• Unambiguous path discrimination in a two-path interferometer
• Linear-Optical Implementation of Perfect Discrimination between Single-bit Unitary Operations
• Designing the unambiguous discriminator from the one -photon interferometer
• Optimal approximations of available states and a triple uncertainty relation
• Quantum measurements of atoms using cavity QED
• Optimal minimum-cost quantum measurements for imperfect detection
• Experimental optimal discrimination of $N$ states of a qubit with fixed rates of inconclusive outcomes
• Implementing Non-Projective Measurements via Linear Optics: an Approach Based on Optimal Quantum State Discrimination
• Violating the Modified Helstrom Bound with Nonprojective Measurements
• Training quantum measurement devices to discriminate unknown non-orthogonal quantum states
• Unambiguous discrimination of general quantum operations
• Minimal-error quantum state discrimination versus robustness of entanglement:More indistinguishability with less entanglement
• Quantum state discrimination
• Unbounded entanglement-sustaining sequential local quantum state discrimination
• Discrimination of metric theories