Realization of single-qubit positive operator-valued measurement via a one-dimensional photonic quantum walk
arXiv:1501.05540 · doi:10.1103/PhysRevLett.114.203602
Abstract
We perform generalized measurements of a qubit by realizing the qubit as a coin in a photonic quantum walk and subjecting the walker to projective measurements. Our experimental technique can be used to realize photonically any rank-1 single-qubit positive operator-valued measure via constructing an appropriate interferometric quantum-walk network and then projectively measuring the walker's position at the final step.
6 pages, 4 figures. This paper combines, improves and supplants the two earlier arXiv papers 1412.2355 and 1410.2407
References in corpus (4)
Cited by in corpus (50)
- The SIC Question: History and State of Play
- Quantum Walk in Momentum Space with a Bose-Einstein Condensate
- Deterministic realization of collective measurements via photonic quantum walks
- Experimental single-setting quantum state tomography
- Entanglement-enhanced quantum metrology in a noisy environment
- Experimental investigation of the stronger uncertainty relations for all incompatible observables
- Quantum optical realization of arbitrary linear transformations allowing for loss and gain
- Electric-circuit simulation of the Schrödinger equation and non-Hermitian quantum walks
- Review on Quantum Walk Computing: Theory, Implementation, and Application
- Journeys from Quantum Optics to Quantum Technology
- Linking Entanglement Detection and State Tomography via Quantum 2-Designs
- Higher winding number in a non-unitary photonic quantum walk
- Experimental property-reconstruction in a photonic quantum extreme learning machine
- Experimental optimal orienteering via parallel and antiparallel spins
- Enhanced violations of Leggett-Garg inequalities in an experimental three-level system
- Localized State in a Two-Dimensional Quantum Walk on a Disordered Lattice
- Experimental self-characterization of quantum measurements
- Implementation of a general single-qubit positive operator-valued measure on a circuit-based quantum computer
- Certification of a Nonprojective Qudit Measurement using Multiport Beamsplitters
- Direct Characterization of Quantum Measurements using Weak Values
- Realizing Topological Transition in a Non-Hermitian Quantum Walk with Circuit QED
- Experimental demonstration of one-sided device-independent self-testing of any pure two-qubit entangled state
- Implementation of generalized measurements on a qudit via quantum walks
- Multiphoton Tomography with Linear Optics and Photon Counting
- Online optimal exact identification of a quantum change point
- Experimental orthogonalization of highly overlapping quantum states with single photons
- Maximal coin-position entanglement generation in a quantum walk for the third step and beyond regardless of the initial state
- To Measure, or Not to Measure, That is the Question
- Discrete dynamics and non-Markovianity
- Entanglement swapping via three-step quantum walk-like protocol
- Simulation of positive operator-valued measures and quantum instruments via quantum state preparation algorithms
- Directly Characterizing the Coherence of Quantum Detectors by Sequential Measurement
- Quantum reservoir computing for photonic entanglement witnessing
- Heisenberg's error-disturbance relations: a joint measurement-based experimental test
- Controllable simulation of topological phases and edge states with quantum walk
- Experimental Realization of Genuine Three-copy Collective Measurements for Optimal Information Extraction
- Implementing arbitrary quantum operations via quantum walks on a cycle graph
- Optimal Single Qubit Tomography: Realization of Locally Optimal Measurements on a Quantum Computer
- Witnessing non-Markovianity by Quantum Quasi-Probability Distributions
- Achieving the Multi-parameter Quantum Cramér-Rao Bound with Antiunitary Symmetry
- Coherence as resource in scattering quantum walk search on complete graph
- Optical realization of one-dimensional generalized split-step quantum walks
- Adaptive tomography of qubits: Purity versus statistical fluctuations
- Non-projective Bell state measurements
- Unambiguous discrimination of general quantum operations
- Macroscopic approach to N-qudit systems
- General measurements with limited resources and their application to quantum unambiguous state discrimination
- Higher-dimensional symmetric informationally complete measurement via programmable photonic integrated optics
- Experimental Joint Estimation of Phase and Phase Diffusion via Deterministic Bell Measurements
- Robust certification of non-projective measurements: theory and experiment