Entopy-energy inequality for superconducting qutrit
V. I. Man'ko, L.A. Markovich

TL;DR
This paper investigates entropy-energy and von Neumann inequalities in superconducting qutrits, demonstrating their use in state verification and illustrating results with a temperature density matrix example.
Contribution
It introduces a comparison of entropy-energy and von Neumann inequalities for superconducting qutrits, providing a method for state tomography verification applicable to generic qudit states.
Findings
Positivity relations are valid for superconducting qutrits.
The inequalities assist in verifying quantum state tomography.
Results are demonstrated on a temperature density matrix example.
Abstract
We compare the entropy-energy inequality and the von Neumann entropic inequality for three level atom implemented on superconducting circuits with Josephson junction. The positivity of entropy and energy relations for the qutrit system are used for verification of state tomography of qudit systems. The results obtained are valid for generic quantum states (qudits) and are illustrated on the example of the temperature density matrix of the single qutrit state.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Quantum Information and Cryptography · Quantum many-body systems
