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Quantum computation mediated by ancillary qudits and spin coherent states

Proctor, Timothy J.; Dooley, Shane; Kendon, Viv

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Authors

Timothy J. Proctor

Shane Dooley



Abstract

Models of universal quantum computation in which the required interactions between register (computational) qubits are mediated by some ancillary system are highly relevant to experimental realizations of a quantum computer. We introduce such a universal model that employs a d -dimensional ancillary qudit. The ancilla-register interactions take the form of controlled displacements operators, with a displacement operator defined on the periodic and discrete lattice phase space of a qudit. We show that these interactions can implement controlled phase gates on the register by utilizing geometric phases that are created when closed loops are traversed in this phase space. The extra degrees of freedom of the ancilla can be harnessed to reduce the number of operations required for certain gate sequences. In particular, we see that the computational advantages of the quantum bus (qubus) architecture, which employs a field-mode ancilla, are also applicable to this model. We then explore an alternative ancilla-mediated model which employs a spin ensemble as the ancillary system and again the interactions with the register qubits are via controlled displacement operators, with a displacement operator defined on the Bloch sphere phase space of the spin coherent states of the ensemble. We discuss the computational advantages of this model and its relationship with the qubus architecture.

Citation

Proctor, T. J., Dooley, S., & Kendon, V. (2015). Quantum computation mediated by ancillary qudits and spin coherent states. Physical Review A, 91(1), Article 012308. https://doi.org/10.1103/physreva.91.012308

Journal Article Type Article
Online Publication Date Jan 8, 2015
Publication Date Jan 8, 2015
Deposit Date Jun 27, 2016
Publicly Available Date Mar 28, 2024
Journal Physical Review A
Print ISSN 2469-9926
Electronic ISSN 2469-9934
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 91
Issue 1
Article Number 012308
DOI https://doi.org/10.1103/physreva.91.012308
Related Public URLs http://arxiv.org/pdf/1402.6674

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Copyright Statement
Reprinted with permission from the American Physical Society: Physical Review A 91, 012308 © (2015) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.




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