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Exact solutions for universal holonomic quantum gates

Karimipour, V ; Sharif University of Technology | 2004

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevA.70.012320
  3. Publisher: American Physical Society , 2004
  4. Abstract:
  5. Implementation of local quantum gate on specific qubits in an array of qubits by carrying a Hamiltonian around a closed loop is discussed. A family of isospectral Hamiltonians with the same spectrum of the projection operator on the main array is constructed by choice of a suitable curve. For every single qubit gate acting on the k-th qubit, a local operator Xk acts nontrivially on the ancilla and the qubit. Imbedding appropriate operators for a suitable set of qubit gates comprises of a universal set of quantum gates. In tensor product of the array one can enact holonomically any set of gates on any subset of qubits
  6. Keywords:
  7. Arrays ; Tensors ; Parameter estimation ; Numerical analysis ; Matrix algebra ; Mathematical operators ; Hamiltonians ; Error analysis ; Eigenvalues and eigenfunctions ; Closed loop control systems
  8. Source: Physical Review A - Atomic, Molecular, and Optical Physics ; Volume 70, Issue 1 , 2004 , Pages 012320-1-012320-5 ; 10502947 (ISSN)
  9. URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.70.012320