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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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    1. Fabian Wolf & Chunyan Shi & Jan C. Heip & Manuel Gessner & Luca Pezzè & Augusto Smerzi & Marius Schulte & Klemens Hammerer & Piet O. Schmidt, 2019. "Motional Fock states for quantum-enhanced amplitude and phase measurements with trapped ions," Nature Communications, Nature, vol. 10(1), pages 1-8, December.
    2. Frank Arute & Kunal Arya & Ryan Babbush & Dave Bacon & Joseph C. Bardin & Rami Barends & Rupak Biswas & Sergio Boixo & Fernando G. S. L. Brandao & David A. Buell & Brian Burkett & Yu Chen & Zijun Chen, 2019. "Quantum supremacy using a programmable superconducting processor," Nature, Nature, vol. 574(7779), pages 505-510, October.
    3. Rossi, R. & Bosco de Magalhães, A.R. & Nemes, M.C., 2006. "Two cavity modes in a dissipative environment: Cross decay rates and robust states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(2), pages 402-408.
    4. Oliveira, Adélcio C., 2014. "Classical limit of quantum mechanics induced by continuous measurements," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 655-668.
    5. Juan Yin & Yu-Huai Li & Sheng-Kai Liao & Meng Yang & Yuan Cao & Liang Zhang & Ji-Gang Ren & Wen-Qi Cai & Wei-Yue Liu & Shuang-Lin Li & Rong Shu & Yong-Mei Huang & Lei Deng & Li Li & Qiang Zhang & Nai-, 2020. "Entanglement-based secure quantum cryptography over 1,120 kilometres," Nature, Nature, vol. 582(7813), pages 501-505, June.
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