Earl T Campbell et al 2007 New J. Phys. 9 196 doi:10.1088/1367-2630/9/6/196
Efficient growth of complex graph states via imperfect path erasure
Focus on Measurement-Based Quantum Information ProcessingEarl T Campbell1, Joseph Fitzsimons, Simon C Benjamin and Pieter Kok
Show affiliationsPart of Focus on Measurement-Based Quantum Information Processing
Given a suitably large and well connected (complex) graph state, any quantum algorithm can be implemented purely through local measurements on the individual qubits. Measurements can also be used to create the graph state: path erasure techniques allow one to entangle multiple qubits by determining only global properties of the qubits. Here, this powerful approach is extended by demonstrating that even imperfect path erasure can produce the required graph states with high efficiency. By characterizing the degree of error in each path erasure attempt, one can subsume the resulting imperfect entanglement into an extended graph state formalism. The subsequent growth of the improper graph state can be guided, through a series of strategic decisions, in such a way as to bound the growth of the error and eventually yield a high-fidelity graph state. As an implementation of these techniques, we develop an analytic model for atom (or atom-like) qubits in mismatched cavities, under the double-heralding entanglement procedure of Barrett and Kok (2005 Phys. Rev. A 71 060310). Compared to straightforward post-selection techniques our protocol offers a dramatic improvement in growing complex high-fidelity graph states.
- PACS
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03.67.Lx Quantum computation architectures and implementations
02.10.Ox Combinatorics; graph theory
03.67.Pp Quantum error correction and other methods for protection against decoherence
03.65.Ta Foundations of quantum mechanics; measurement theory
03.67.Mn Entanglement measures, witnesses, and other characterizations
- Subjects
- Dates
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Issue 6 (June 2007)
Received 6 February 2007
Published 29 June 2007
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Efficient growth of complex graph states via imperfect path erasure
Earl T Campbell et al 2007 New J. Phys. 9 196
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