Jared H Cole et al 2006 J. Phys. A: Math. Gen. 39 14649 doi:10.1088/0305-4470/39/47/009
Precision characterization of two-qubit Hamiltonians via entanglement mapping
Jared H Cole, Simon J Devitt and Lloyd C L Hollenberg
Show affiliationsWe demonstrate a method to characterize the general Heisenberg Hamiltonian with non-uniform couplings by mapping the entanglement it generates as a function of time. Identification of the Hamiltonian in this way is possible as the coefficients of each operator control the oscillation frequencies of the entanglement function. The number of measurements required to achieve a given precision in the Hamiltonian parameters is determined and an efficient measurement strategy designed. We derive the relationship between the number of measurements, the resulting precision and the ultimate discrete error probability generated by a systematic mis-characterization. This has important implications when implementing two-qubit gates for fault-tolerant quantum computation.
- PACS
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03.67.Lx Quantum computation architectures and implementations
- MSC
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81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)
- Subjects
- Dates
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Issue 47 (24 November 2006)
Received 31 March 2006, in final form 1 August 2006
Published 8 November 2006
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Precision characterization of two-qubit Hamiltonians via entanglement mapping
Jared H Cole et al 2006 J. Phys. A: Math. Gen. 39 14649
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