Selective and efficient quantum state tomography and its application to quantum process tomography

Bendersky, Ariel; Paz, Juan Pablo

doi:10.1103/physreva.87.012122

Cited by 9 publications

(6 citation statements)

References 16 publications

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“…From measurements on these probes, intensive parameters, like temperature, chemical potential, or couplings of Hamiltonians or of dissipators, are infered with a sensitivity given by the inverse of the quantum Fisher Information. Thermal probes are crucial for both fundamental issues and technological applications (Benedict, 1984;Childs, 2001;Giazotto et al, 2006). Estimations with dissipative dynamics (Alipour et al, 2014;Bellomo et al, 2009Bellomo et al, , 2010aZhang and Sarovar, 2015) are also instances of process tomography (Baldwin et al, 2014;Bendersky and Paz, 2013;Merkel et al, 2013;Mohseni et al, 2008) with partial prior knowledge.…”

Section: Thermodynamical and Non-equilibrium Steady Statesmentioning

confidence: 99%

Quantum-enhanced measurements without entanglement

et al. 2018

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Quantum-enhanced measurements exploit quantum mechanical effects for increasing the sensitivity of measurements of certain physical parameters and have great potential for both fundamental science and concrete applications. Most of the research has so far focused on using highly entangled states, which are, however, difficult to produce and to stabilize for a large number of constituents. In the following we review alternative mechanisms, notably the use of more general quantum correlations such as quantum discord, identical particles, or non-trivial Hamiltonians; the estimation of thermodynamical parameters or parameters characterizing non-equilibrium states; and the use of quantum phase transitions. We describe both theoretically achievable enhancements and enhanced sensitivities, not primarily based on entanglement, that have already been demonstrated experimentally, and indicate some possible future research directions. arXiv:1701.05152v2 [quant-ph]

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Section: Thermodynamical and Non-equilibrium Steady Statesmentioning

confidence: 99%

Quantum-enhanced measurements without entanglement

et al. 2018

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“…A Chernoff bound 37,38 can be applied to estimate the number of experimental runs needed to realize a desired precision. 39,40 The possible outcomes of one experimental run are 0 for no projection and 1 if a (0,2) charge state is measured, the expectation value is tr(P j ρ). Repeating this experiment N run times thus leads to a binomial distribution.…”

Section: Estimating the Errormentioning

confidence: 99%

Tomography scheme for two spin-12qubits in a double quantum dot

Rohling

Burkard

2013

Phys. Rev. B

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We present a scheme for full quantum state tomography tailored for two spin qubits in a double quantum dot. A set of 15 quantum states allows to determine the density matrix in this two-qubit space by projective measurement. In this paper we choose a set gained from mutually unbiased bases. We determine how those 15 projections can be represented by charge measurements after a spin-to-charge conversion and the application of quantum gates. The quantum gates include exchange-based gates as well as rotations by electron spin resonance (ESR). We assume the experimental realization of ESR operations to be more difficult than the exchange gate operation. Therefore, it is an important result that the ESR gates are limited by a π/2 rotation for one of the electron spins per measurement.

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“…Toolkits developed in quantum tomography [22][23][24][25][26][27][28][29][30][31][32][33] have concomitantly evolved into modern schemes appropriate for characterizing those components efficiently. A notable branch of schemes attempt to cope with a large number of qubits by directly estimating quantum properties [34][35][36][37][38][39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Benchmarking quantum tomography completeness and fidelity with machine learning

Teo,

Shin,

Jeong

et al. 2021

Preprint

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We train convolutional neural networks to predict whether or not a set of measurements is informationally complete to uniquely reconstruct any given quantum state with no prior information. In addition, we perform fidelity benchmarking based on this measurement set without explicitly carrying out state tomography. The networks are trained to recognize the fidelity and a reliable measure for informational completeness through collective encoding of quantum measurements, data and target states into grayscale images. By gradually accumulating measurements and data, these convolutional networks can efficiently certify a low-measurement-cost quantum-state characterization scheme. We confirm the potential of this machine-learning approach by presenting experimental results for both spatial-mode and multiphoton systems of large dimensions. These predictions are further shown to improve with noise recognition when the networks are trained with additional bootstrapped training sets from real experimental data.

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Selective and efficient quantum state tomography and its application to quantum process tomography

Cited by 9 publications

References 16 publications

Quantum-enhanced measurements without entanglement

Quantum-enhanced measurements without entanglement

Tomography scheme for two spin-12qubits in a double quantum dot

Benchmarking quantum tomography completeness and fidelity with machine learning

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