Quantum Process Tomography: Resource Analysis of Different Strategies

By Masoud Mohseni, Ali T. Rezakhani, Daniel A. Lidar. 2007

399 citations recorded by the source corpus.

Characterization of quantum dynamics is a fundamental problem in quantum physics and quantuminformation science. Several methods are known which achieve this goal, namely standard quantum-process tomography SQPT, ancilla-assisted process tomography, 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 quantum-process tomography schemes in terms of the total number of required elementary quantum operations.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/40baa6a0f0d4e50d238f774403b400854e419765

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Citations in the corpus

Continuous-variable optical quantum-state tomography (2009, background): “A comprehensive review on the subject has recently been given by Mohseni et al. 2008 .”
Quantum tomography via compressed sensing: error bounds, sample complexity and efficient estimators (2012, neutral): “We leave open the problem of doing a comparative study between these and other methods [77, 78], akin to [79].”
Quantum-enhanced measurements without entanglement (2017, background): “Estimations with dissipative dynamics (Alipour et al., 2014; Bellomo et al., 2009, 2010a,b; Zhang 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.”
Quantum process tomography of a universal entangling gate implemented with Josephson phase qubits (2009, methodology): “of qubit systems and to apply techniques from control theory to create scalable qubit benchmarking protocol”