Minimal ancilla mediated quantum computation

Proctor, Timothy J.; Kendon, Viv

Abstract

Schemes of universal quantum computation in which the interactions between the computational elements, in a computational register, are mediated by some ancillary system are of interest due to their relevance to the physical implementation of a quantum computer. Furthermore, reducing the level of control required over both the ancillary and register systems has the potential to simplify any experimental implementation. In this paper we consider how to minimise the control needed to implement universal quantum computation in an ancilla-mediated fashion. Considering computational schemes which require no measurements and hence evolve by unitary dynamics for the global system, we show that when employing an ancilla qubit there are certain fixed-time ancilla-register interactions which, along with ancilla initialisation in the computational basis, are universal for quantum computation with no additional control of either the ancilla or the register. We develop two distinct models based on locally inequivalent interactions and we then discuss the relationship between these unitary models and the measurement-based ancilla-mediated models known as ancilla-driven quantum computation.

Citation

Proctor, T. J., & Kendon, V. (2014). Minimal ancilla mediated quantum computation. EPJ Quantum Technology, 1(1), Article 13. https://doi.org/10.1140/epjqt13

• Journal Article Type: Article
• Acceptance Date: Aug 13, 2014
• Online Publication Date: Sep 4, 2014
• Publication Date: Sep 4, 2014
• Deposit Date: Nov 5, 2014
• Publicly Available Date: Sep 4, 2015
• Journal: EPJ Quantum Technology
• Electronic ISSN: 2196-0763
• Publisher: SpringerOpen
• Peer Reviewed: Peer Reviewed
• Volume: 1
• Issue: 1
• Article Number: 13
• DOI: https://doi.org/10.1140/epjqt13
• Keywords: Ancilla, Universal gates, Minimal control, Quantum computation, Quantum bus, Ancilla-driven, Ancilla-controlled.
• Public URL: https://durham-repository.worktribe.com/output/1418059
• Related Public URLs: http://arxiv.org/pdf/1404.2527