Mutually unbiased unitary bases of operators on d-dimensional hilbert space

Nasir, Rinie N. M.; Shaari, Jesni Shamsul; Mancini, Stefano

doi:10.1142/s0219749919410260

Cited by 4 publications

(3 citation statements)

References 19 publications

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“…One immediate future avenue is complete process characterisation, as suggested in the previous section, which will offer better benchmark for the length of the memory. Although we found success with the use of an overcomplete basis, it would likely be fruitful to explore coupling smaller bases with conventional denoising techniques, the use of a mutually unbiased unitary basis 33 , or machine learning reconstruction methods 34 . Much like with the study of many-body entanglement, there is ample room to reduce experimental overhead with some well-placed physical assumptions.…”

Section: Discussionmentioning

confidence: 97%

Demonstration of non-Markovian process characterisation and control on a quantum processor

et al. 2020

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In the scale-up of quantum computers, the framework underpinning fault-tolerance generally relies on the strong assumption that environmental noise affecting qubit logic is uncorrelated (Markovian). However, as physical devices progress well into the complex multi-qubit regime, attention is turning to understanding the appearance and mitigation of correlated — or non-Markovian — noise, which poses a serious challenge to the progression of quantum technology. This error type has previously remained elusive to characterisation techniques. Here, we develop a framework for characterising non-Markovian dynamics in quantum systems and experimentally test it on multi-qubit superconducting quantum devices. Where noisy processes cannot be accounted for using standard Markovian techniques, our reconstruction predicts the behaviour of the devices with an infidelity of 10−3. Our results show this characterisation technique leads to superior quantum control and extension of coherence time by effective decoupling from the non-Markovian environment. This framework, validated by our results, is applicable to any controlled quantum device and offers a significant step towards optimal device operation and noise reduction.

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Section: Discussionmentioning

confidence: 97%

Demonstration of non-Markovian process characterisation and control on a quantum processor

et al. 2020

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“…The coordinate conversion factors of the N -dimensional Cartesian coordinate system and the hyper-spherical coordinate system can be introduced to construct N -dimensional quantum rotation [30]. The conversion factor [31] between the two coordinate systems can be defined as follows:…”

Section: N-dimensional Quantum Rotationmentioning

confidence: 99%

Quantum identity authentication based on the extension of quantum rotation

Chen

Wang

Jian

et al. 2023

EPJ Quantum Technol.

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In this work, we propose a bit-oriented QIA protocol based on special properties of quantum rotation and the public key cryptographic framework. The proposed protocol exhibited good resistance to both forward search and measure-resend attacks, whereby its security performance was directly related to the length of the authentication code. From our analysis, it was demonstrated that the protocol has good performance, in terms of quantum bit efficiency. In addition, the protocol is well-expandable. The developed protocol is resource-efficient and can be also applied in quantum computing networks.

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“…The measurement scheme implemented in this work is based on the SIC-POVM for two dimensional Hilbert space. Another common approach to two-qubit tomography involves measurement schemes connected with mutually unbiased bases, which can be considered overcomplete [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Quantifying entanglement of two-qubit Werner states

Czerwinski¹

2021

Commun. Theor. Phys.

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In this article, we introduce a framework for entanglement quantification of photon pairs represented by two-qubit Werner states. The measurement scheme is based on the symmetric informationally complete POVM. To make the framework realistic, we impose the Poisson noise on the measured two-photon coincidences. For various settings, numerical simulations were performed to evaluate the efficiency of the framework.

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Mutually unbiased unitary bases of operators on d-dimensional hilbert space

Cited by 4 publications

References 19 publications

Demonstration of non-Markovian process characterisation and control on a quantum processor

Demonstration of non-Markovian process characterisation and control on a quantum processor

Quantum identity authentication based on the extension of quantum rotation

Quantifying entanglement of two-qubit Werner states

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