Designing three-way entangled and nonlocal two-way entangled single particle states via alternate quantum walks
arXiv:2402.05080 · doi:10.1103/PhysRevA.111.012420
Abstract
Entanglement with single-particle states is advantageous in quantum technology because of their ability to encode and process information more securely than their multi-particle analogs. Threeway and nonlocal two-way entangled single-particle states are desirable in this context. Herein, we generate genuine three-way entanglement from an initially separable state involving three degrees of freedom of a quantum particle, which evolves via a 2D alternate quantum walk employing a resource-saving single-qubit coin. We achieve maximum possible values for the three-way entanglement quantified by the π-tangle between the three degrees of freedom. We also generate optimal nonlocal two-way entanglement, quantified by the negativity between the nonlocal position degrees of freedom of the particle. This prepared architecture using quantum walks can be experimentally realized with a photon.
17 pages, 11 figures, 3 tables, accepted for publication in Phys. Rev. A
References in corpus (41)
- A computable measure of entanglement
- Quantum cryptography: Public key distribution and coin tossing
- Distributed Entanglement
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Realization of a quantum walk with one and two trapped ions
- Quantum walk of a trapped ion in phase space
- Measure of genuine multipartite entanglement with computable lower bounds
- Monogamy Inequality in terms of Negativity for Three-Qubit States
- Most quantum states are too entangled to be useful as computational resources
- Experimental Two-dimensional Quantum Walk on a Photonic Chip
- Convex-roof extended negativity as an entanglement measure for bipartite quantum systems
- Machine Learning Assisted Many-Body Entanglement Measurement
- Tetrapartite entanglement measures of W-Class in noninertial frames
- Limit distributions of two-dimensional quantum walks
- Mimicking the probability distribution of a two-dimensional Grover walk with a single-qubit coin
- Multipartite entangled states in particle mixing
- Dynamically Disordered Quantum Walk as a Maximal Entanglement Generator
- Quantum state fusion in photons
- Experimental realisation of a delayed-choice quantum walk
- One- and two-dimensional quantum walks in arrays of optical traps
- Improved lower bounds on genuine-multipartite-entanglement concurrence
- Alternate two-dimensional quantum walk with a single-qubit coin
- Entangling Power of Disordered Quantum Walks
- Genuine Multipartite Entanglement in the -Photon Decay of Positronium
- Dynamic-Disorder-Induced Enhancement of Entanglement in Photonic Quantum Walks
- Quantum walks public key cryptographic system
- Generation of hybrid maximally entangled states in a one-dimensional quantum walk
- Quantum Information with Even/Odd States of Orbital Angular Momentum of Light
- Genuine multipartite entanglement detection with imperfect measurements: concept and experiment
- Universal and optimal coin sequences for high entanglement generation in 1D discrete time quantum walks
- Tri-Partite entanglement in Neutrino Oscillations
- Non-Markovian channel from the reduced dynamics of coin in quantum walk
- Generating highly entangled states via discrete-time quantum walks with Parrondo sequences
- Quantifying genuine tripartite entanglement by reshaping the state
- Generation of hyperentangled states and two-dimensional quantum walks using - ()- plates and polarization beamsplitters
- Maximal coin-position entanglement generation in a quantum walk for the third step and beyond regardless of the initial state
- Maximal coin-walker entanglement in a ballistic quantum walk
- Strict entanglement monotonicity under local operations and classical communication
- Certification of Genuine Multipartite Entanglement with General and Robust Device-independent Witnesses
- Recurrent generation of maximally entangled single particle states via quantum walks on cyclic graphs
- Quantum cryptographic protocols with dual messaging system via 2D alternate quantum walk of a genuine single-photon entangled state