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quant-phJul 1, 2004
91
citations (OpenAlex)
authors
  • Francesco Buscemi
  • Giacomo Mauro D'Ariano
  • Chiara Macchiavello
institutions
  • Istituto Nazionale di Fisica Nucleare, Sezione di Pavia
  • University of Pavia
arXiv abstractPDF
paper

Economical Phase-Covariant Cloning of Qudits

arXiv:quant-ph/0407103 · doi:10.1103/PhysRevA.71.042327

Abstract

We derive the optimal N to M phase-covariant quantum cloning for equatorial states in dimension d with M=kd+N, k integer. The cloning maps are optimal for both global and single-qudit fidelity. The map is achieved by an ``economical'' cloning machine, which works without ancilla.

10 pages revtex4, 7 figures, replaced with modified version

Cited by in corpus (14)

  • Multiple phase estimation in quantum cloning machines
  • Optimal mirror phase-covariant cloning
  • Cloning transformations in spin networks without external control
  • Implementation of optimal phase-covariant cloning machines
  • Optimal cloning of qubits given by arbitrary axisymmetric distribution on Bloch sphere
  • Quantum Cloning by Cellular Automata
  • Phase-covariant cloning of coherent states
  • Optimal asymptotic cloning machines
  • Probing Quantum Telecloning on Superconducting Quantum Processors
  • Economical realization of phase covariant devices in arbitrary dimensions
  • Fundamental limits on quantum cloning from the no-signalling principle
  • Enhancing phase-covariant channel performance with non-unitality
  • Process-optimized phase covariant quantum cloning
  • Virtual phase-covariant quantum broadcasting for qubits
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