Phase-covariant quantum cloning of qudits

Abstract

We study the phase-covariant quantum cloning machine for qudits, i.e. the input states in d-level quantum system have complex coefficients with arbitrary phase but constant module. A cloning unitary transformation is proposed. After optimizing the fidelity between input state and single qudit reduced density opertor of output state, we obtain the optimal fidelity for 1 to 2 phase-covariant quantum cloning of qudits and the corresponding cloning transformation.

Revtex, 6 pages

References in corpus (2)

• Quantum Cloning Machines of a d-level System
• Cloning a Qutrit

Cited by in corpus (29)

• Quantum cloning
• Security of Quantum Key Distribution with entangled quNits
• Quantum Cloning Machines and the Applications
• Economical Phase-Covariant Cloning of Qudits
• Economical quantum cloning in any dimension
• Multiple phase estimation for arbitrary pure states under white noise
• On the Phase Covariant Quantum Cloning
• Quantum partial teleportation as optimal cloning at a distance
• Multiple phase estimation in quantum cloning machines
• Optimal mirror phase-covariant cloning
• Cloning transformations in spin networks without external control
• Quantum cloning attacks against PUF-based quantum authentication systems
• Maximum nonlocality and minimum uncertainty using magic states
• Separability in Asymmetric Phase-Covariant Cloning
• Extremal quantum cloning machines
• Optimal cloning of qubits given by arbitrary axisymmetric distribution on Bloch sphere
• General Quantum Key Distribution in Higher Dimension
• High fidelity quantum cloning of two known nonorthogonal quantum states via weak measurement
• Distribution of quantum Fisher information in asymmetric cloning machines
• Phase-covariant cloning of coherent states
• Optimal ancilla-free phase-covariant telecloning of qudits via nonmaximally entangled states
• Minimal sets determining universal and phase-covariant quantum cloning
• Probing Quantum Telecloning on Superconducting Quantum Processors
• General sequential quantum cloning
• Cloning of arbitrary mirror-symmetric distributions on Bloch sphere: Optimality proof and proposal for practical photonic realization
• No-compressing of quantum phase information
• Process-optimized phase covariant quantum cloning
• Single Qubit Multi-Party Transmission Using Universal Symmetric Quantum Cloning
• A Unified Quantum NOT Gate