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

Oded Zilberberg*, Bernd Braunecker, Daniel Loss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

41 Citations (Scopus)

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.

Original languageEnglish
Article number012327
Number of pages8
JournalPhysical Review. A, Atomic, molecular, and optical physics
Volume77
Issue number1
DOIs
Publication statusPublished - Jan 2008

Keywords

  • DOTS
  • MEMORY
  • STATE
  • SPINS

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