A Universal Operator Theoretic Framework for Quantum Fault Tolerance

Details A Universal Operator Theoretic Framework for Quantum Fault Tolerance A Universal Operator Theoretic Framework for Quantum Fault Tolerance

2007-09-02

arxiv.org/abs/0709.0128v3

Physics

Quantum Physics

v3: 8 pages, 3 figures, explicit numerical example comparing OQFT to QFT added

Scientific paper

In this paper we introduce a universal operator theoretic framework for quantum fault tolerance. This incorporates a top-down approach that implements a system-level criterion based on specification of the full system dynamics, applied at every level of error correction concatenation. This leads to more accurate determinations of error thresholds than could previously be obtained. This is demonstrated both formally and with an explicit numerical example. The basis for our approach is the Quantum Computer Condition (QCC), an inequality governing the evolution of a quantum computer. We show that all known coding schemes are actually special cases of the QCC. We demonstrate this by introducing a new, operator theoretic form of entanglement assisted quantum error correction, which incorporates as special cases all known error correcting protocols, and is itself a special case of the QCC.

Affiliated with

Also associated with

No associations

Rating

A Universal Operator Theoretic Framework for Quantum Fault Tolerance 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 A Universal Operator Theoretic Framework for Quantum Fault Tolerance, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Universal Operator Theoretic Framework for Quantum Fault Tolerance will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-467760