Optimal Cloning of Pure States

Abstract

We construct the unique optimal quantum device for turning a finite number of d-level quantum systems in the same unknown pure state σinto M systems of the same kind, in an approximation of the M-fold tensor product of the state σ.

12 pages, plain TeX, no figs

References in corpus (3)

• Optimal Quantum Cloning Machines
• Optimal Universal and State-Dependent Quantum Cloning
• Universal Algorithm for Optimal Estimation of Quantum States from Finite Ensembles

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• The compatibility dimension of quantum measurements
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• Uncloneable Quantum Advice
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• Topological obstructions to quantum computation with unitary oracles
• Optimized Telecloning Circuits: Theory and Practice of Nine NISQ Clones
• Probabilistic implementation of universal Hadamard and Unitary gates
• No-compressing of quantum phase information
• Secure and Robust Transmission and Verification of Unknown Quantum States in Minkowski Space
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• Nonclassical resource for continuous variable telecloning with non-Gaussian advantage
• Application of the no-signaling principle to obtain quantum cloners for any allowed value of fidelity
• Characterising a universal cloning machine by maximum-likelihood estimation
• A Physical Perspective on Classical Cloning
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• Monogamy of highly symmetric states
• On states of quantum theory
• Quantum comparison machines with one-sided error
• Port-based telecloning of an unknown quantum state
• Optimal counterfeiting attacks and generalizations for Wiesner's quantum money
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• Quantum Process Randomness
• Non-Cooperative Quantum Game Theory
• Process-optimized phase covariant quantum cloning
• Entropic measurement uncertainty relations for all the infinite components of a spin vector
• The Rate of Optimal Purification procedures
• Study on Entanglement and its Utility in Information Processing
• Optimal Quantum Subtracting Machine
• Compression for Qubit Clocks
• Some bounds for quantum copying with multiple copies
• Multicast quantum network coding as optimal symmetric universal cloning over a quantum network
• Run-length certificates in quantum learning: sample complexity and noise thresholds
• Virtual phase-covariant quantum broadcasting for qubits
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• Thermodynamic Constraints on Information Transmission in Quantum Ensembles
• A Unified Quantum NOT Gate
• Analytical Lower Bound on Query Complexity for Transformations of Unknown Unitary Operations
• Compression of quantum shallow-circuit states
• Quantum system identification
• Superbroadcasting of harmonic oscillators mixed states
• Self-teleportation and its application on LOCC estimation and other tasks
• Test of Common Sense in Quantum Copying Process