Strathprints logo
Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

Generalized state spaces and nonlocality in fault-tolerant quantum-computing schemes

Ratanje, N. and Virmani, Shashank (2011) Generalized state spaces and nonlocality in fault-tolerant quantum-computing schemes. Physical Review A, 83 (3). ISSN 1050-2947

Full text not available in this repository. (Request a copy from the Strathclyde author)

Abstract

We develop connections between generalized notions of entanglement and quantum computational devices where the measurements available are restricted, either because they are noisy and/or because by design they are only along Pauli directions. By considering restricted measurements one can (by considering the dual positive operators) construct single-particle-state spaces that are different to the usual quantum-state space. This leads to a modified notion of entanglement that can be very different to the quantum version (for example, Bell states can become separable). We use this approach to develop alternative methods of classical simulation that have strong connections to the study of nonlocal correlations: we construct noisy quantum computers that admit operations outside the Clifford set and can generate some forms of multiparty quantum entanglement, but are otherwise classical in that they can be efficiently simulated classically and cannot generate nonlocal statistics. Although the approach provides new regimes of noisy quantum evolution that can be efficiently simulated classically, it does not appear to lead to significant reductions of existing upper bounds to fault tolerance thresholds for common noise models.

Item type: Article
ID code: 34993
Keywords: quantum computational devices , quantum-state space, simulation, noise models, Physics, Atomic and Molecular Physics, and Optics
Subjects: Science > Physics
Department: Faculty of Science > Physics
Related URLs:
Depositing user: Pure Administrator
Date Deposited: 21 Oct 2011 14:57
Last modified: 27 Mar 2014 09:45
URI: http://strathprints.strath.ac.uk/id/eprint/34993

Actions (login required)

View Item