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

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  • Reis, Mauricio
  • Oliveira, Adelcio C.

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.

Suggested Citation

  • Reis, Mauricio & Oliveira, Adelcio C., 2022. "A complementary resource relation of concurrence and roughness for a two-qubit state," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P2).
    • Handle: RePEc:eee:phsmap:v:608:y:2022:i:p2:s0378437122008718
    DOI: 10.1016/j.physa.2022.128313
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