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 (21)

• Quantum Copying: Beyond the No-Cloning Theorem
• Optimal eavesdropping in quantum cryptography with six states
• Optimal Quantum Cloning Machines
• Noncommuting mixed states cannot be broadcast
• Optimal Universal and State-Dependent Quantum Cloning
• Optimal Cloning of Pure States
• Probabilistic cloning and identification of linearly independent quantum states
• Phase covariant quantum cloning
• Optimal universal quantum cloning and state estimation
• Universal Algorithm for Optimal Estimation of Quantum States from Finite Ensembles
• Optimal Cloning of Pure States, Judging Single Clones
• Quantum copying: A network
• Optimal Quantum Cloning via Stimulated Emission
• Optimal state estimation for d-dimensional quantum systems
• Quantum cloning machines for equatorial qubits
• Optimal Non-Universally Covariant Cloning
• No-cloning of Orthogonal States in Composite Systems
• Quantum Cloning Machines of a d-level System
• Cloning a Qutrit
• Quantum Cloning in $d$ dimensions
• Lambda's, V's and optimal cloning with stimulated emission

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