Generalised state spaces and non-locality in fault tolerant quantum computing schemes

Details Generalised state spaces and non-locality in fault tolerant quantum computing schemes Generalised state spaces and non-locality in fault tolerant quantum computing schemes

2010-07-20

arxiv.org/abs/1007.3455v2

Phys. Rev. A 83, 032309 (2011)

Physics

Quantum Physics

V2: 18 sides, 7 figures. Corrected two erroneous claims and one erroneous argument

Scientific paper

10.1103/PhysRevA.83.032309

We develop connections between generalised 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 non-local 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 non-local 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.

Affiliated with

Also associated with

No associations

Rating

Generalised state spaces and non-locality in fault tolerant quantum computing schemes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalised state spaces and non-locality in fault tolerant quantum computing schemes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalised state spaces and non-locality in fault tolerant quantum computing schemes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-126127