Quantum information processing in a decoherence-free subspace for the $\hat{\sigma }_{x}$ σ ^ x -type collective noiseQuantum information processing in a decoherence-free subspace for the $$\hat{\sigma }_{x}$$ σ ^ x -type collective noise

Wen‐Xue Cui, Shutian Liu, Shou Zhang +2 more

Quantum Information ProcessingAug 1, 20180 citations

Universal quantum computation with electronic qubits in decoherence-free subspace

Xinglai Zhang, Mang Feng, K. Gao

We investigate how to carry out universal quantum computation deterministically with free electrons in decoherence-free subspace by using polarizing beam splitters, charge detectors, and single-spin rotations. Quantum information in our case is encoded in spin degrees of freedom of the electron-pairs which construct a decoherence-free subspace. We design building blocks for two noncommutable single-logic-qubit gates and a logic controlled phase gate, based on which a universal and scalable quantum information processing robust to dephasing is available in a deterministic way.We investigate how to carry out universal quantum computation deterministically with free electrons in decoherence-free subspace by using polarizing beam splitters, charge detectors, and single-spin rotations. Quantum information in our case is encoded in spin degrees of freedom of the electron-pairs which construct a decoherence-free subspace. We design building blocks for two noncommutable single-logic-qubit gates and a logic controlled phase gate, based on which a universal and scalable quantum information processing robust to dephasing is available in a deterministic way.

arXiv:0710.3996Quantum Information and ComputationJan 1, 20081 citation

POSSIBILITIES FOR QUANTUM INFORMATION PROCESSING

Štěpán Holub

Springer eBooksMay 16, 20070 citations

Quantum Information Processing

Ritajit Majumdar

Springer eBooksJan 1, 20223 citations

Logic-qubit controlled-NOT gate of decoherence-free subspace with nonlinear quantum optics

Chunyan Li, Zu-Rong Zhang, Shi‐Hai Sun +2 more

The implementation of an optical system universal logic-qubit controlled-NOT gate of decoherence-free subspaces (DFSs) using the cross-Kerr nonlinearity effect is discussed. Both the control qubit and the target qubit contain two photons, the states of which are DFSs of collective-rotating noise or collective-dephasing noise. A three-qubit parity-check circuit, which is the most important unit of the quantum gate, is proposed first, and only one ancillary photon is needed in our scheme. A single-photon source, linear optical apparatus, and quantum nondemolition detector are used to perform the process. Its efficiency may approach 100% with a feed-forward process. The experimental feasibility of the strategy with current technology is also considered.The implementation of an optical system universal logic-qubit controlled-NOT gate of decoherence-free subspaces (DFSs) using the cross-Kerr nonlinearity effect is discussed. Both the control qubit and the target qubit contain two photons, the states of which are DFSs of collective-rotating noise or collective-dephasing noise. A three-qubit parity-check circuit, which is the most important unit of the quantum gate, is proposed first, and only one ancillary photon is needed in our scheme. A single-photon source, linear optical apparatus, and quantum nondemolition detector are used to perform the process. Its efficiency may approach 100% with a feed-forward process. The experimental feasibility of the strategy with current technology is also considered.

Journal of the Optical Society of America BJun 12, 201317 citations

Quantum information processing in a decoherence-free subspace for the

\hat{\sigma }_{x}

σ ^ x -type collective noise