Controlled-NOT for multiparticle qubits and topological quantum computation based on parity measurements
arXiv:0708.1062 · doi:10.1103/PhysRevA.77.012327
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.
8 pages, 6 figures, updated references
References in corpus (12)
- Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
- Singlet-triplet decoherence due to nuclear spins in a double quantum dot
- Charge detection enables free-electron quantum computation
- Universal set of quantum gates for double-dot spin qubits with fixed interdot coupling
- Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2
- Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer
- Shot Noise in Anyonic Mach-Zehnder Interferometer
- Parity meter for charge qubits: an efficient quantum entangler
- Quantum gates between capacitively coupled double quantum dot two-spin qubits
- Topologically protected quantum gates for computation with non-Abelian anyons in the Pfaffian quantum Hall state
- Entangling spins by measuring charge: a parity-gate toolbox
- Bell's inequality and universal quantum gates in a cold atom chiral fermionic p-wave superfluid
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