Protecting Quantum Information Encoded in Decoherence Free States Against Exchange Errors

Abstract

The exchange interaction between identical qubits in a quantum information processor gives rise to unitary two-qubit errors. It is shown here that decoherence free subspaces (DFSs) for collective decoherence undergo Pauli errors under exchange, which however do not take the decoherence free states outside of the DFS. In order to protect DFSs against these errors it is sufficient to employ a recently proposed concatenated DFS-quantum error correcting code scheme [D.A. Lidar, D. Bacon and K.B. Whaley, Phys. Rev. Lett. {\bf 82}, 4556 (1999)].

7 pages, no figures. Discussion in section V.A. significantly expanded. Several small changes. Two authors added

References in corpus (3)

• Universal Fault-Tolerant Computation on Decoherence-Free Subspaces
• Introduction to Quantum Computation
• Pauli Exchange Errors in Quantum Computation

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• Experimental detection of entanglement via witness operators and local measurements
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• Decoherence-Free Subspaces for Multiple-Qubit Errors: (I) Characterization
• Six-qubit permutation-based decoherence-free orthogonal basis
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• Entangling distant resonant exchange qubits via circuit quantum electrodynamics
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• Continuous Quantum Error Correction Through Local Operations
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• Transition of D- Level Quantum Systems Through Quantum Channels with Correlated Noise
• Quantum Features of the Thermal Two-Qubit Quantum Rabi Model in Ultra- and Deep-Strong Regimes
• Recursive encoding and decoding of the noiseless subsystem for qudits