Diagnosis, Prescription, and Prognosis of a Bell-State Filter by Quantum Process Tomography

Mitchell, Morgan W.; Ellenor, Christopher W.; Schneider, Sara; Steinberg, Aephraim M.

doi:10.1103/physrevlett.91.120402

Cited by 108 publications

(100 citation statements)

References 27 publications

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“…There are dozens of proposals and experimental realizations of QPT for systems with a few qubits. These include the estimation of quantumoptical gates [8,11,[13][14][15][16][17][18][19], liquid nuclear-magneticresonance gates [20][21][22], superconducting gates [23][24][25][26][27][28] (for a review see Ref. [29]) and other solid-state gates [30][31][32], ion-trap gates [33,34], or the estimation of the dynamics of atoms in optical lattices [35].…”

Section: Introductionmentioning

confidence: 99%

Efficient tomography of quantum-optical Gaussian processes probed with a few coherent states

Wang

et al. 2013

Phys. Rev. A

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An arbitrary quantum-optical process (channel) can be completely characterized by probing it with coherent states using the recently developed coherent-state quantum process tomography (QPT) [Lobino et al., Science 322, 563 (2008)]. In general, precise QPT is possible if an infinite set of probes is available. Thus, realistic QPT of infinite-dimensional systems is approximate due to a finite experimentally-feasible set of coherent states and its related energy-cut-off approximation. We show with explicit formulas that one can completely identify a quantum-optical Gaussian process just with a few different coherent states without approximations like the energy cut-off. For tomography of multimode processes, our method exponentially reduces the number of different test states, compared with existing methods.

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Section: Introductionmentioning

confidence: 99%

Efficient tomography of quantum-optical Gaussian processes probed with a few coherent states

Wang

et al. 2013

Phys. Rev. A

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“…SQPT has been experimentally demonstrated in liquid-state NMR [24,25,26], optical [27,28], atomic [29] and solid-state systems [30]. Since the map E is linear, it can in principle be reconstructed from the measured data by a proper inversion.…”

Section: Standard Quantum Process Tomographymentioning

confidence: 99%

Quantum-process tomography: Resource analysis of different strategies

2008

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Characterization of quantum dynamics is a fundamental problem in quantum physics and quantum information science. Several methods are known which achieve this goal, namely Standard Quantum Process Tomography (SQPT), Ancilla-Assisted Process Tomography (AAPT), and the recently proposed scheme of Direct Characterization of Quantum Dynamics (DCQD). Here, we review these schemes and analyze them with respect to some of the physical resources they require. Although a reliable figure-of-merit for process characterization is not yet available, our analysis can provide a benchmark which is necessary for choosing the scheme that is the most appropriate in a given situation, with given resources. As a result, we conclude that for quantum systems where two-body interactions are not naturally available, SQPT is the most efficient scheme. However, for quantum systems with controllable two-body interactions, the DCQD scheme is more efficient than other known QPT schemes in terms of the total number of required elementary quantum operations.

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“…The physical realization of QPT has been demonstrated on various experimental setups [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48]. Several developments in the methodology of QPT have also been reported [49,50].…”

Section: Single Scan Process Tomographymentioning

confidence: 99%

Ancilla-Assisted Measurements on Quantum Ensembles: General Protocols and Applications in NMR Quantum Information Processing

Mahesh¹,

Shukla²,

Hegde³

et al. 2015

Current Science

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Quantum ensembles form easily accessible architectures for studying various phenomena in quantum physics, quantum information science, and spectroscopy. Here we review some recent protocols for measurements in quantum ensembles by utilizing ancillary systems. We also illustrate these protocols experimentally via nuclear magnetic resonance techniques. In particular, we shall review noninvasive measurements, extracting expectation values of various operators, characterizations of quantum states, and quantum processes, and finally quantum noise engineering.

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Diagnosis, Prescription, and Prognosis of a Bell-State Filter by Quantum Process Tomography

Cited by 108 publications

References 27 publications

Efficient tomography of quantum-optical Gaussian processes probed with a few coherent states

Efficient tomography of quantum-optical Gaussian processes probed with a few coherent states

Quantum-process tomography: Resource analysis of different strategies

Ancilla-Assisted Measurements on Quantum Ensembles: General Protocols and Applications in NMR Quantum Information Processing

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