Stronger Quantum Speed Limit for Mixed Quantum States

In this paper, we derive a quantum speed limit for unitary evolution for the case of mixed quantum states using the stronger uncertainty relation for mixed quantum states. This bound can be optimized over different choices of Hermitian operators for a better bound. We illustrate this with some examp...

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Main Authors: Shrobona Bagchi, Dimpi Thakuria, Arun Kumar Pati
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/7/1046
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author Shrobona Bagchi
Dimpi Thakuria
Arun Kumar Pati
author_facet Shrobona Bagchi
Dimpi Thakuria
Arun Kumar Pati
author_sort Shrobona Bagchi
collection DOAJ
description In this paper, we derive a quantum speed limit for unitary evolution for the case of mixed quantum states using the stronger uncertainty relation for mixed quantum states. This bound can be optimized over different choices of Hermitian operators for a better bound. We illustrate this with some examples and show its better performance with respect to three existing bounds for mixed quantum states.
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spelling doaj.art-259f8feffe7043cbafaad668c81aa3032023-11-18T19:13:57ZengMDPI AGEntropy1099-43002023-07-01257104610.3390/e25071046Stronger Quantum Speed Limit for Mixed Quantum StatesShrobona Bagchi0Dimpi Thakuria1Arun Kumar Pati2Center for Quantum Information, Korea Institute of Science and Technology, Seoul 02792, Republic of KoreaQuantum Information and Computation Group, Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211019, IndiaQuantum Information and Computation Group, Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211019, IndiaIn this paper, we derive a quantum speed limit for unitary evolution for the case of mixed quantum states using the stronger uncertainty relation for mixed quantum states. This bound can be optimized over different choices of Hermitian operators for a better bound. We illustrate this with some examples and show its better performance with respect to three existing bounds for mixed quantum states.https://www.mdpi.com/1099-4300/25/7/1046quantum speed limitmixed quantum statestime-energy uncertainty relation
spellingShingle Shrobona Bagchi
Dimpi Thakuria
Arun Kumar Pati
Stronger Quantum Speed Limit for Mixed Quantum States
Entropy
quantum speed limit
mixed quantum states
time-energy uncertainty relation
title Stronger Quantum Speed Limit for Mixed Quantum States
title_full Stronger Quantum Speed Limit for Mixed Quantum States
title_fullStr Stronger Quantum Speed Limit for Mixed Quantum States
title_full_unstemmed Stronger Quantum Speed Limit for Mixed Quantum States
title_short Stronger Quantum Speed Limit for Mixed Quantum States
title_sort stronger quantum speed limit for mixed quantum states
topic quantum speed limit
mixed quantum states
time-energy uncertainty relation
url https://www.mdpi.com/1099-4300/25/7/1046
work_keys_str_mv AT shrobonabagchi strongerquantumspeedlimitformixedquantumstates
AT dimpithakuria strongerquantumspeedlimitformixedquantumstates
AT arunkumarpati strongerquantumspeedlimitformixedquantumstates