Quantum gate characterization in an extended Hilbert space
arXiv:quant-ph/0411144 · doi:10.1103/PhysRevA.72.032306
Abstract
We describe an approach for characterizing the process of quantum gates using quantum process tomography, by first modeling them in an extended Hilbert space, which includes non-qubit degrees of freedom. To prevent unphysical processes from being predicted, present quantum process tomography procedures incorporate mathematical constraints, which make no assumptions as to the actual physical nature of the system being described. By contrast, the procedure presented here ensures physicality by placing physical constraints on the nature of quantum processes. This allows quantum process tomography to be performed using a smaller experimental data set, and produces parameters with a direct physical interpretation. The approach is demonstrated by example of mode-matching in an all-optical controlled-NOT gate. The techniques described are non-specific and could be applied to other optical circuits or quantum computing architectures.
4 pages, 2 figures, REVTeX (published version)
References in corpus (13)
- Prescription for experimental determination of the dynamics of a quantum black box
- Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
- Distance measures to compare real and ideal quantum processes
- Quantum process tomography of a controlled-NOT gate
- Linear Optical CNOT Gate in the Coincidence Basis
- Experimental Controlled-NOT Logic Gate for Single Photons in the Coincidence Basis
- Realization of a photonic CNOT gate sufficient for quantum computation
- Simple Scheme for Efficient Linear Optics Quantum Gates
- Experimental demonstration of a non-destructive controlled-NOT quantum gate for two independent photon-qubits
- Diagnosis, prescription and prognosis of a Bell-state filter by quantum process tomography
- A fidelity measure for quantum channels
- Interference of Quantum Channels
- Frequency and temporal effects in linear optical quantum computing
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- The effect of component variations on the gate fidelity in linear optical networks
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