Asymptotic quantum cloning is state estimation

Abstract

The impossibility of perfect cloning and state estimation are two fundamental results in Quantum Mechanics. It has been conjectured that quantum cloning becomes equivalent to state estimation in the asymptotic regime where the number of clones tends to infinity. We prove this conjecture using two known results of Quantum Information Theory: the monogamy of quantum correlations and the properties of entanglement breaking channels.

4 pages, REVTEX

References in corpus (1)

• A complete family of separability criteria

Cited by in corpus (68)

• Quantum state discrimination and its applications
• Generic emergence of classical features in quantum Darwinism
• Quantum Cloning Machines and the Applications
• A resource theory of quantum memories and their faithful verification with minimal assumptions
• Strong monogamy conjecture for multiqubit entanglement: The four-qubit case
• Should Entanglement Measures be Monogamous or Faithful?
• Weighted complex projective 2-designs from bases: optimal state determination by orthogonal measurements
• Quantum discord cannot be shared
• Experimental Demonstration of Continuous Variable Cloning with Phase-Conjugate Inputs
• Contextual advantages and certification for maximum confidence discrimination
• Cloning Entangled Qubits to Scales One Can See
• Quantum information becomes classical when distributed to many users
• Quantum replication at the Heisenberg limit
• Optimal design and quantum benchmarks for coherent state amplifiers
• Investigating macroscopic quantum superpositions and the quantum-to-classical transition by optical parametric amplification
• Inductive supervised quantum learning
• Teleportation with a Mixed State of Four Qubits and the Generalized Singlet Fraction
• Experimental amplification of an entangled photon: what if the detection loophole is ignored?
• Superactivation of monogamy relations for nonadditive quantum correlation measures
• Fidelity criterion for quantum-domain transmission and storage of coherent states beyond unit-gain constraint
• Quantum marginal problem and incompatibility
• On quantum estimation, quantum cloning and finite quantum de Finetti theorems
• Continuous-Variable Telecloning with Phase-Conjugate Inputs
• Quantum cloning attacks against PUF-based quantum authentication systems
• Designing Quantum Information Processing via Structural Physical Approximation
• The nonequilibrium cost of accurate information processing
• Entanglement Theory and the Quantum Simulation of Many-Body Physics
• Learning unknown pure quantum states
• Optimal quantum state discrimination via nested binary measurements
• Minimum-error multiple state discrimination constrained by the no-signaling principle
• Conditions for monogamy of quantum correlations in multipartite systems
• Demonstration of reversible phase-insensitive optical amplifier
• Verification of quantum-domain process using two non-orthogonal states
• Complete Information Balance in Quantum Measurement
• Hierarchy of efficiently computable and faithful lower bounds to quantum discord
• Experimental test of the no signaling theorem
• Optimal multicopy asymmetric Gaussian cloning of coherent states
• Optimality of minimum-error discrimination by the no-signalling condition
• Quantum teleportation is a reversal of quantum measurement
• Erasable and unerasable correlations
• The Quantum Cocktail Party
• Optimal convex approximations of quantum states
• Optimal cloning of mixed Gaussian states
• Detecting Consistency of Overlapping Quantum Marginals by Separability
• Optimal approximations of available states and a triple uncertainty relation
• Optimal asymptotic cloning machines
• Complete Optimal Convex Approximations of Qubit States under $B_2$ Distance
• Probabilistic Metrology Attains Macroscopic Cloning of Quantum Clocks
• Probabilistically Perfect Cloning of Two Pure States: A Geometric Approach
• An invitation to the sample complexity of quantum hypothesis testing
• Asymptotically optimal purification and dilution of mixed qubit and Gaussian states
• Encrypted Qubits can be Cloned
• Multipartite monogamous relations for Entanglement and Discord
• Quantum superreplication of states and gates
• No-signaling bounds for quantum cloning and metrology
• Quantum state decorrelation
• Economical realization of phase covariant devices in arbitrary dimensions
• Truncated moment sequences and a solution to the channel separability problem
• State estimation from pair of conjugate qudits
• Superbroadcasting and classical information
• Maximum Violation of Monogamy of Entanglement for Indistinguishable Particles by Measures that are Monogamous for Distinguishable Particles
• On optimal cloning and incompatibility
• Inequalities for the quantum privacy
• Thermodynamic bound on quantum state discrimination
• Monogamy of entanglement of maximal dimension
• Entanglement - A Queer In The World Of Quantum : Some Perspectives
• Single Qubit Multi-Party Transmission Using Universal Symmetric Quantum Cloning
• Fidelity estimation between two finite ensembles of unknown pure equatorial qubit states