Quantum Hypercube States

We introduce quantum hypercube states, a class of continuous-variable quantum states that are generated as orthographic projections of hypercubes onto the quadrature phase space of a bosonic mode. In addition to their interesting geometry, hypercube states display phase-space features much smaller t...

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Bibliographic Details
Published in:Physical review letters 2019-07, Vol.123 (2), p.020402-020402, Article 020402
Main Authors: Howard, L A, Weinhold, T J, Shahandeh, F, Combes, J, Vanner, M R, White, A G, Ringbauer, M
Format: Article
Language:English
Subjects:
Continuity (mathematics)
High temperature
Hypercubes
Opto-mechanics
Orthography
Plancks constant
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Summary:We introduce quantum hypercube states, a class of continuous-variable quantum states that are generated as orthographic projections of hypercubes onto the quadrature phase space of a bosonic mode. In addition to their interesting geometry, hypercube states display phase-space features much smaller than Planck's constant, and a large volume of Wigner negativity. We theoretically show that these features make hypercube states sensitive to displacements at extremely small scales in a way that is surprisingly robust to initial thermal occupation and to small separation of the superposed state components. In a high-temperature proof-of-principle optomechanics experiment we observe, and match to theory, the signature outer-edge vertex structure of hypercube states.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.123.020402