A complementary resource relation of concurrence and roughness for a two-qubit state

Mauricio Reis and Adelcio C. Oliveira

Physica A: Statistical Mechanics and its Applications, 2022, vol. 608, issue P2

Abstract: Quantum resources lie at the core of quantum computation as they are responsible for the computational advantage in many tasks. The complementary relations are a pathway to understanding how the physical quantities are related. This work presents a complementary relationship between the quantumness of a two qubits state and the degree of entanglement, respectively measured by roughness and concurrence. There is a finite R2 region that can be used to characterize the two qubits subspace. Heat maps for accumulation points over the surfaces of pure and non-pure randomly sampled states are presented, also an investigation of a decoherence process using a bath under zero and non-zero temperature is performed using the roughness versus concurrence parameter space.

Keywords: Complementary relation; Resource theory; Concurrence; Roughness; Bloch sphere; Qubits (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:608:y:2022:i:p2:s0378437122008718

DOI: 10.1016/j.physa.2022.128313

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