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A cold-atoms based processor for deterministic quantum computation with one qubit in intractably large Hilbert spaces

2013/09/30 by Christopher Mansell, Chris Mansell, S. Bergamini +1
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Cold Atom Physics and Bose-Einstein Condensates #Combinatorics #Computation #Computer science #Hilbert space #Mathematics #Physics #Protocol (science) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum computer #Quantum mechanics #Qubit #Rydberg atom #Rydberg formula #Scalability #Theoretical physics #Topology (electrical circuits) #quant-ph

paper · pdf · doi:10.1088/1367-2630/16/5/053045

7 pages, 6 figures

arxiv created 2013/09/30 · openalex publication_date 2014/05/22 · arxiv updated 2015/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We propose the use of Rydberg interactions and ensembles of cold atoms in mixed state for the implementation of a protocol for deterministic quantum computation with one quantum bit that can be readily operated in high dimensional Hilbert spaces. We propose an experimental test for the scalability of the protocol and to study the physics of discord. Furthermore, we explore the possibility of extending to non-trivial unitaries, such as those associated to many-body physics. Finally develop a scheme to add control to cold atom unitaries in order to facilitate their implementation in our proposal.

Citations