Physics – Quantum Physics
Scientific paper
2003-05-09
Physics
Quantum Physics
9 pages
Scientific paper
We define the problem identity check: Given a classical description of a quantum circuit, determine whether it is almost equivalent to the identity. Explicitly, the task is to decide whether the corresponding unitary is close to a complex multiple of the identity matrix with respect to the operator norm. We show that this problem is QMA-complete. A generalization of this problem is equivalence check: Given two descriptions of quantum circuits and a description of a common invariant subspace, decide whether the restrictions of the circuits to this subspace almost coincide. We show that equivalence check is also in QMA and hence QMA-complete.
Beth Thomas
Janzing Dominik
Wocjan Pawel
No associations
LandOfFree
Identity check is QMA-complete 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 Identity check is QMA-complete, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Identity check is QMA-complete will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-719669