Quantum logic using correlated one-dimensional quantum walks
© 2018, The Author(s). Quantum Walks are unitary processes describing the evolution of an initially localized wavefunction on a lattice potential. The complexity of the dynamics increases significantly when several indistinguishable quantum walkers propagate on the same lattice simultaneously, as th...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Nature
2021
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| Online Access: | https://hdl.handle.net/1721.1/134940 |
| _version_ | 1826210418026086400 |
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| author | Lahini, Yoav Steinbrecher, Gregory R Bookatz, Adam D Englund, Dirk |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Lahini, Yoav Steinbrecher, Gregory R Bookatz, Adam D Englund, Dirk |
| author_sort | Lahini, Yoav |
| collection | MIT |
| description | © 2018, The Author(s). Quantum Walks are unitary processes describing the evolution of an initially localized wavefunction on a lattice potential. The complexity of the dynamics increases significantly when several indistinguishable quantum walkers propagate on the same lattice simultaneously, as these develop non-trivial spatial correlations that depend on the particle’s quantum statistics, mutual interactions, initial positions, and the lattice potential. We show that even in the simplest case of a quantum walk on a one dimensional graph, these correlations can be shaped to yield a complete set of compact quantum logic operations. We provide detailed recipes for implementing quantum logic on one-dimensional quantum walks in two general cases. For non-interacting bosons—such as photons in waveguide lattices—we find high-fidelity probabilistic quantum gates that could be integrated into linear optics quantum computation schemes. For interacting quantum-walkers on a one-dimensional lattice—a situation that has recently been demonstrated using ultra-cold atoms—we find deterministic logic operations that are universal for quantum information processing. The suggested implementation requires minimal resources and a level of control that is within reach using recently demonstrated techniques. Further work is required to address error-correction. |
| first_indexed | 2024-09-23T14:49:09Z |
| format | Article |
| id | mit-1721.1/134940 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:49:09Z |
| publishDate | 2021 |
| publisher | Springer Nature |
| record_format | dspace |
| spelling | mit-1721.1/1349402023-02-17T21:12:48Z Quantum logic using correlated one-dimensional quantum walks Lahini, Yoav Steinbrecher, Gregory R Bookatz, Adam D Englund, Dirk Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Research Laboratory of Electronics © 2018, The Author(s). Quantum Walks are unitary processes describing the evolution of an initially localized wavefunction on a lattice potential. The complexity of the dynamics increases significantly when several indistinguishable quantum walkers propagate on the same lattice simultaneously, as these develop non-trivial spatial correlations that depend on the particle’s quantum statistics, mutual interactions, initial positions, and the lattice potential. We show that even in the simplest case of a quantum walk on a one dimensional graph, these correlations can be shaped to yield a complete set of compact quantum logic operations. We provide detailed recipes for implementing quantum logic on one-dimensional quantum walks in two general cases. For non-interacting bosons—such as photons in waveguide lattices—we find high-fidelity probabilistic quantum gates that could be integrated into linear optics quantum computation schemes. For interacting quantum-walkers on a one-dimensional lattice—a situation that has recently been demonstrated using ultra-cold atoms—we find deterministic logic operations that are universal for quantum information processing. The suggested implementation requires minimal resources and a level of control that is within reach using recently demonstrated techniques. Further work is required to address error-correction. 2021-10-27T20:09:57Z 2021-10-27T20:09:57Z 2018 2019-06-14T15:59:50Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/134940 en 10.1038/S41534-017-0050-2 npj Quantum Information Creative Commons Attribution 4.0 International license https://creativecommons.org/licenses/by/4.0/ application/pdf Springer Nature Nature |
| spellingShingle | Lahini, Yoav Steinbrecher, Gregory R Bookatz, Adam D Englund, Dirk Quantum logic using correlated one-dimensional quantum walks |
| title | Quantum logic using correlated one-dimensional quantum walks |
| title_full | Quantum logic using correlated one-dimensional quantum walks |
| title_fullStr | Quantum logic using correlated one-dimensional quantum walks |
| title_full_unstemmed | Quantum logic using correlated one-dimensional quantum walks |
| title_short | Quantum logic using correlated one-dimensional quantum walks |
| title_sort | quantum logic using correlated one dimensional quantum walks |
| url | https://hdl.handle.net/1721.1/134940 |
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