Controlled-NOT gate for multiparticle qubits and topological quantum computation based on parity measurements

Oded Zilberberg, Bernd Braunecker, and Daniel Loss
Phys. Rev. A 77, 012327 – Published 23 January 2008

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 ν=5/2 Ising non-Abelian anyons using topological quantum computation braiding operations and nontopological charge measurements.

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  • Received 8 August 2007

DOI:https://doi.org/10.1103/PhysRevA.77.012327

©2008 American Physical Society

Authors & Affiliations

Oded Zilberberg, Bernd Braunecker, and Daniel Loss

  • Department of Physics, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland

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Issue

Vol. 77, Iss. 1 — January 2008

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