Realization of quantum process tomography in NMR
arXiv:quant-ph/0012032 · doi:10.1103/PhysRevA.64.012314
Abstract
Quantum process tomography is a procedure by which the unknown dynamical evolution of an open quantum system can be fully experimentally characterized. We demonstrate explicitly how this procedure can be implemented with a nuclear magnetic resonance quantum computer. This allows us to measure the fidelity of a controlled-not logic gate and to experimentally investigate the error model for our computer. Based on the latter analysis, we test an important assumption underlying nearly all models of quantum error correction, the independence of errors on different qubits.
8 pages, 7 EPS figures, REVTeX
References in corpus (7)
- Reliable Quantum Computers
- Prescription for experimental determination of the dynamics of a quantum black box
- Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
- Complete quantum teleportation using nuclear magnetic resonance
- Composed ensembles of random unitary matrices
- Implementation of a three-quantum-bit search algorithm
- Reconstruction of Liouvillian Superoperators
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