Precise tomography of optical polarisation qubits under conditions of chromatic aberration of quantum transformations

Bantysh, B. I.; Bogdanov, Yu. I.; Богданова, Н. А.; Kuznetsov, Yu. А.

doi:10.1088/1612-202x/ab6e72

Cited by 11 publications

(11 citation statements)

References 28 publications

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“…Using this model, it is possible to obtain a consistent estimate of a quantum state or a quantum process. 17,20,21,24 Note, however, that this requires knowing the SPAM parameters with sufficient accuracy. Below we consider a possible experimental procedures for estimating these parameters in the trapped ion system.…”

Section: Fuzzy Measurements Modelmentioning

confidence: 99%

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Quantum tomography for quantum systems optimization

Bantysh¹,

Bogdanov²

2022

Preprint

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Debugging quantum states transformations is an important task of modern quantum computing. The use of quantum tomography for these purposes significantly expands the range of possibilities. However, the presence of preparation and measurement errors complicates the practical use of this procedure. In this work, we investigate the possibility of estimating these errors from experiment. These estimates are subsequently used to build a robust quantum tomography model. The model allows one to accurately reconstruct unitary errors of singlequbit gates. We show that, having such imperfect single-qubit gates with pre-estimated errors, one can obtain transformations close to ideal ones. A similar approach can also significantly mitigate single-qubit gates crosstalk.

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Section: Fuzzy Measurements Modelmentioning

confidence: 99%

“…To avoid this, the QT model must take into account SPAM errors. [17][18][19][20][21][22][23][24] One way to achieve this is through the use of machine learning methods. 25,26 However, errors in the training data can lead to the overestimated accuracy of subsequent results.…”

Section: Introductionmentioning

confidence: 99%

Quantum tomography for quantum systems optimization

Bantysh¹,

Bogdanov²

2022

Preprint

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“…Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. many contexts, the reconstruction program is also limited by the presence of inherent aberrations in the source [2,3]. It is worth noting that, even in the simple case of a two-level atom interacting with a radiation field, the state of the field subsystem was experimentally reconstructed from the corresponding tomogram at various instants during temporal evolution only as recently as 2017 [4].…”

Section: Introductionmentioning

confidence: 99%

Tomographic entanglement indicators in frequency combs and Talbot carpets

Sharmila

Lakshmibala

Balakrishnan

2022

J. Phys. B: At. Mol. Opt. Phys.

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Recent theoretical investigations on tomographic entanglement indicators have showcased the advantages of the tomographic approach in the context of continuous-variable (CV), spin and hybrid quantum systems. Direct estimation of entanglement using experimental data from the IBM quantum computing platform and NMR experiments has also been carried out in earlier work. A similar investigation in the context of CV systems is necessary to assess fully the utility of the tomographic approach. In this paper, we highlight the advantages of this approach in the context of experiments reported in the literature on two CV systems, namely, entangled Talbot carpets and entangled biphoton frequency combs. We use the tomographic entanglement indicator to estimate the degree of entanglement between a pair of Talbot carpets, and demonstrate that this provides a simpler and more direct procedure as compared to the one suggested in the experiment. We also establish that the tomograms corresponding to two biphoton frequency combs carry clear entanglement signatures that distinguish between the two states.

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“…However, reconstruction of the state of a radiation field from the corresponding optical tomogram could be both tedious and complex [1]. In many contexts, the reconstruction program is also limited by the presence of inherent aberrations in the source [2,3]. It is worth noting that even in the simple case of a two-level atom interacting with a radiation field, the state of the field subsystem was experimentally reconstructed from the corresponding tomogram at various instants of temporal evolution only as recently as 2017 [4].…”

Section: Introductionmentioning

confidence: 99%

Tomographic entanglement indicators in frequency combs and Talbot carpets

Sharmila,

Lakshmibala,

Balakrishnan

2021

Preprint

View full text Add to dashboard Cite

Recent theoretical investigations on tomographic entanglement indicators have showcased the advantages of the tomographic approach in the context of continuous-variable (CV), spin and hybrid quantum systems. Direct estimation of entanglement using experimental data from the IBM quantum computing platform and NMR experiments have also been carried out in earlier work. A similar investigation in the context of CV systems is necessary to fully assess the utility of our tomographic approach. In this paper, we highlight the advantages of our approach in the context of experiments reported in the literature on two CV systems, namely, entangled Talbot carpets and biphoton frequency combs. We use the tomographic entanglement indicator to assess the extent of entanglement between a pair of Talbot carpets and demonstrate that this provides a simpler and more direct procedure compared to the one suggested in the experiment. We also establish that the tomograms corresponding to the two biphoton frequency combs carry clear entanglement signatures that distinguish between the two states.

show abstract

Precise tomography of optical polarisation qubits under conditions of chromatic aberration of quantum transformations

Cited by 11 publications

References 28 publications

Quantum tomography for quantum systems optimization

Quantum tomography for quantum systems optimization

Tomographic entanglement indicators in frequency combs and Talbot carpets

Tomographic entanglement indicators in frequency combs and Talbot carpets

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