Protecting theSWAPoperation from general and residual errors by continuous dynamical decoupling

2015/04/02 by F. F. Fanchini, Reginaldo de Jesus Napolitano, R. d. J. Napolitano +3
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Amplitude #Computer science #Dephasing #Hamiltonian (control theory) #Mathematical optimization #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum computer #Quantum decoherence #Quantum mechanics #Qubit #Residual #Swap (finance) #quant-ph

paper · pdf · doi:10.1103/physreva.91.042325

published as Phys. Rev. A. 91, 042325 (2015) · Extended version of arXiv:1005.1666. To appear in PRA

arxiv created 2015/04/02 · openalex publication_date 2015/04/22 · arxiv updated 2015/04/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the occurrence of errors in a continuously decoupled two-qubit state during a √(SWAP) quantum operation under decoherence. We consider a realization of this quantum gate based on the Heisenberg exchange interaction, which alone suffices for achieving universal quantum computation. Furthermore, we introduce a continuous-dynamical-decoupling scheme that commutes with the Heisenberg Hamiltonian to protect it from the amplitude damping and dephasing errors caused by the system-environment interaction. We consider two error-protection settings. One protects the qubits from both amplitude damping and dephasing errors. The other features the amplitude damping as a residual error and protects the qubits from dephasing errors only. In both settings, we investigate the interaction of qubits with common and independent environments separately. We study how errors affect the entanglement and fidelity for different environmental spectral densities.

Citations

• Coherence Stabilization of a Two-Qubit Gate by ac Fields
• Dynamical suppression of decoherence in two-state quantum systems
• Entanglement of Formation of an Arbitrary State of Two Qubits
• The Magnus expansion and some of its applications
• Rigorous bounds on the performance of a hybrid dynamical-decoupling quantum-computing scheme
• Controlled exchange interaction between pairs of neutral atoms in an optical lattice
• The nitrogen-vacancy colour centre in diamond
• Quantum-state engineering with Josephson-junction devices
• Robust Dynamical Decoupling for Quantum Computing and Quantum Memory
• Coherent Manipulation of Coupled Electron Spins in Semiconductor Quantum Dots
• Self-assembling hybrid diamond–biological quantum devices
• Simulating physics with computers
• Universal Quantum Computation Using Continuous Dynamical Decoupling