Controlled-NOT for multiparticle qubits and topological quantum computation based on parity measurements
Abstract
We discuss a measurement-based implementation of a controlled-NOT (CNOT) quantum gate. Such a gate has recently been discussed for free electron qubits. Here we extend this scheme for qubits encoded in product states of two (or more) spins-1/2 or in equivalent systems. The key to such an extension is to find a feasible qubit-parity meter. We present a general scheme for reducing this qubit-parity meter to a local spin-parity measurement performed on two spins, one from each qubit. Two possible realizations of a multiparticle CNOT gate are further discussed: electron spins in double quantum dots in the singlet-triplet encoding, and nu=5/2 Ising non-Abelian anyons using topological quantum computation braiding operations and nontopological charge measurements.
Cite
@article{arxiv.0708.1062,
title = {Controlled-NOT for multiparticle qubits and topological quantum computation based on parity measurements},
author = {Oded Zilberberg and Bernd Braunecker and Daniel Loss},
journal= {arXiv preprint arXiv:0708.1062},
year = {2011}
}
Comments
8 pages, 6 figures, updated references