Quantum cloning

Abstract

The impossibility of perfectly copying (or cloning) an arbitrary quantum state is one of the basic rules governing the physics of quantum systems. The processes that perform the optimal approximate cloning have been found in many cases. These "quantum cloning machines" are important tools for studying a wide variety of tasks, e.g. state estimation and eavesdropping on quantum cryptography. This paper provides a comprehensive review of quantum cloning machines (both for discrete-dimensional and for continuous-variable quantum systems); in addition, it presents the role of cloning in quantum cryptography, the link between optimal cloning and light amplification via stimulated emission, and the experimental demonstrations of optimal quantum cloning.

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• Quantum Cryptography: Security Criteria Reexamined
• Cloning of symmetric d-level photonic states in physical systems

Cited by in corpus (287)

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• Optimal quantum cloning of orbital angular momentum photon qubits via Hong-Ou-Mandel coalescence
• Quantum discord and its allies: a review
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• Bell nonlocality in networks
• Quantum channels and their entropic characteristics
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• Optimal quantum learning of a unitary transformation
• Entanglement-Assisted Quantum Networks: Mechanics, Enabling Technologies, Challenges, and Research Directions
• Quantum Cloning Machines and the Applications
• Experimental investigation of high-dimensional quantum key distribution protocols with twisted photons
• Applications of single-qubit rotations in quantum public-key cryptography
• Realization of single-qubit positive operator-valued measurement via a one-dimensional photonic quantum walk
• No-Go Theorems for Quantum Resource Purification
• Experimental optimal cloning of four-dimensional quantum states of photons
• Asymptotic quantum cloning is state estimation
• Quantum secret sharing with continuous-variable cluster states
• Quantum State Orthogonalization and a Toolset for Quantum Optomechanical Phonon Control
• Monogamy of Bell's inequality violations in non-signaling theories
• Nondestructive detection of photonic qubits
• Resource-efficient linear-optical quantum router
• Key distillation from quantum channels using two-way communication protocols
• Enhancement of magnon-photon-phonon entanglement in a cavity magnomechanics with coherent feedback loop
• Optimal cloning of unitary transformations
• No-cloning of quantum steering
• Experimental Realization of $1\to 2$ Asymmetric Phase-Covariant Quantum Cloning
• Optimal Cloning and Singlet Monogamy
• Quantum Technologies in the Telecommunications Industry
• Coherence and asymmetry cannot be broadcast
• Optimal probabilistic storage and retrieval of unitary channels
• Measurement-based adaptation protocol with quantum reinforcement learning
• Terahertz Quantum Cryptography
• Experimental Demonstration of Continuous Variable Cloning with Phase-Conjugate Inputs
• Laws of Nature as Constraints
• Teleportation of qubit states through dissipative channels: Conditions for surpassing the no-cloning limit
• Twelve years before the quantum no-cloning theorem
• Surpassing the no-cloning limit with a heralded hybrid linear amplifier for coherent states
• Experimental macroscopic coherence by phase-covariant cloning of a single photon
• How weak values emerge in joint measurements on cloned quantum systems
• Experimental phase-covariant cloning of polarization states of single photons
• Contextual advantage for state-dependent cloning
• Designing Quantum Router in IBM Quantum Computer
• Cloning of Gaussian states by linear optics
• Fibre-optics implementation of asymmetric phase-covariant quantum cloner
• NMR Experimental Demonstration of Probabilistic Quantum Cloning
• Cloning Entangled Qubits to Scales One Can See
• Broadcasting Quantum Fisher Information
• Quantum replication at the Heisenberg limit
• Regional versus Global Entanglement in Resonating-Valence-Bond states
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• Investigating macroscopic quantum superpositions and the quantum-to-classical transition by optical parametric amplification
• Is Your Quantum Program Bug-Free?
• Extendibility limits the performance of quantum processors
• Experimental amplification of an entangled photon: what if the detection loophole is ignored?
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• 100 MHz Amplitude and Polarization Modulated Optical Source for Free-Space Quantum Key Distribution at 850 nm
• An Infinite Sequence of Additive Channels: the Classical Capacity of Cloning Channels
• Securing quantum networking tasks with multipartite Einstein-Podolsky-Rosen steering
• Entanglement sensitivity to signal attenuation and amplification
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• Probabilistic Cloning of Coherent States without a Phase Reference
• Quantum non-Gaussianity and secure quantum communication
• Sequential Implementation of Global Quantum Operations
• Several experimental realizations of symmetric phase-covariant quantum cloner of single-photon qubits
• Optimal compression for identically prepared qubit states
• Superactivation of monogamy relations for nonadditive quantum correlation measures
• Multiple phase estimation in quantum cloning machines
• Experimental linear-optical implementation of a multifunctional optimal qubit cloner
• Difficulties in analytic computation for relative entropy of entanglement
• Optimal mirror phase-covariant cloning
• Biomimetic Cloning of Quantum Observables
• Quantum Channel Marginal Problem
• Optimal quantum operations at zero energy cost
• Deterministic versus probabilistic quantum information masking
• On quantum estimation, quantum cloning and finite quantum de Finetti theorems
• Spacetime-constrained oblivious transfer
• A tamper-indicating quantum seal
• Universal super-replication of unitary gates
• Quantum Genetic Algorithm with Individuals in Multiple Registers
• Information-flux approach to multiple-spin dynamics
• Photonic multipartite entanglement conversion using nonlocal operations
• Quantum cloning attacks against PUF-based quantum authentication systems
• Sequential Quantum Cloning
• The capacity of black holes to transmit quantum information
• Unified Universal Quantum Cloning Machine and Fidelities
• Maximum nonlocality and minimum uncertainty using magic states
• Designing Quantum Information Processing via Structural Physical Approximation
• The nonequilibrium cost of accurate information processing
• Hadamard quantum broadcast channels
• Experimental asymmetric phase-covariant quantum cloning of polarization qubits
• Remote information concentration and multipartite entanglement in multilevel systems
• Deterministic superreplication of one-parameter unitary transformations
• Creating mirror-mirror quantum correlations in optomechanics
• Cloning and Joint Measurements of Incompatible Components of Spin
• Solid-State Optimal Phase-Covariant Quantum Cloning Machine
• Fast optical source for quantum key distribution based on semiconductor optical amplifiers
• Optimal cloning of qubits given by arbitrary axisymmetric distribution on Bloch sphere
• Implementation of optimal phase-covariant cloning machines
• Resource theory of unextendibility and non-asymptotic quantum capacity
• Universal optimal broadband photon cloning and entanglement creation in one dimensional atoms
• Quantum Cloning for Absolute Radiometry
• Emergence and enhancement of feedback control induced quantum entanglement
• Information-theoretic limitations on approximate quantum cloning and broadcasting
• Continuous variable controlled quantum dialogue and secure multiparty quantum computation
• Quantum Cloning of Continuous Variable Entangled States
• Experimental demonstration of entanglement-enabled universal quantum cloning in a circuit
• Realization of universal quantum cloning with SQUID qubits in a cavity
• A quantum cloning bound and application to quantum key distribution
• A complete characterisation of the heralded noiseless amplification of photons
• Proposal for Inverting the Quantum Cloning of Photons
• de Bruijn-type identity for systems with flux
• Cloning of Quantum Entanglement
• Verification of quantum-domain process using two non-orthogonal states
• Black holes are almost optimal quantum cloners
• Trace distance from the viewpoint of quantum operation techniques
• Quantum Information Transfer between a Two-Level and a Four-Level Quantum System
• Complete Information Balance in Quantum Measurement
• Determining complementary properties with quantum clones
• Tripartite Entanglement Dynamics in the presence of Non-Markovian Environment
• Replicating the benefits of closed timelike curves without breaking causality
• Convex approximations of quantum channels
• Variational Quantum Cloning: Improving Practicality for Quantum Cryptanalysis
• High fidelity quantum cloning of two known nonorthogonal quantum states via weak measurement
• Quantum computing with mixed states
• Region of fidelities for a 1 -> N universal qubit quantum cloner
• Coherently tracking the covariance matrix of an open quantum system
• Group representation approach to 1 - N universal quantum cloning machines
• Distribution of quantum Fisher information in asymmetric cloning machines
• Broadcasting of Quantum Correlations: Possibilities & Impossibilities
• Experimental test of the no signaling theorem
• Quantum cloning a pair of orthogonally polarized photons with linear optics
• Optimal multicopy asymmetric Gaussian cloning of coherent states
• Unified quantum no-go theorems and transforming of quantum states in a restricted set
• Mixed Qubit Cannot Be Universally Broadcast
• Optimal Broadcasting of Mixed States
• Fundamental quantum limits for practical devices
• Efficient Amplification of Photonic Qubits by Optimal Quantum Cloning
• Optimal ancilla-free phase-covariant telecloning of qudits via nonmaximally entangled states
• Statistics of radiation due to non-degenerate Josephson parametric down conversion
• Hyper-hybrid entanglement, indistinguishability, and two-particle entanglement swapping
• Quantum deleting and cloning in a pseudo-unitary system
• Optimal convex approximations of quantum states
• Optimal cloning of mixed Gaussian states
• Compression for quantum population coding
• Setting a disordered password on a photonic memory
• Towards continuous-wave regime teleportation for light matter quantum relay stations
• A method to determine which quantum operations can be realized with linear optics with a constructive implementation recipe
• Quantum Telescopes: feasibility and constrains
• Watching the Clocks: Interpreting the Page-Wootters Formalism and the Internal Quantum Reference Frame Programme
• Quantum-enhanced learning of rotations about an unknown direction
• Optimal asymptotic cloning machines
• Universal quantum Controlled-NOT gate
• Entanglement, EPR correlations and mesoscopic quantum superposition by the high-gain quantum injected parametric amplification
• The classicality and quantumness of a quantum ensemble
• Quantum vs classical genetic algorithms: A numerical comparison shows faster convergence
• Probabilistic cloning with supplementary information contained in the quantum states of two auxiliary systems
• Complete Optimal Convex Approximations of Qubit States under $B_2$ Distance
• On the interaction of a single-photon wave packet with an excited atom
• Thermodynamic Approach to Quantifying Incompatible Instruments
• Relativistically covariant state-dependent cloning of photons
• Optimal tracking for pairs of qubit states
• Information of a qubit interacting with a multilevel environment
• Perfect NOT transformation and conjugate transformation
• Trade-off coding for universal qudit cloners motivated by the Unruh effect
• Cloning of a quantum measurement
• Asymmetric quantum multicast network coding: asymmetric optimal cloning over quantum networks
• Electromagnetic fields, size, and copy of a single photon
• Quantum cloning of steering
• Probing Quantum Telecloning on Superconducting Quantum Processors
• The Quantum No-Stretching: A geometrical interpretation of the no-cloning theorem
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• Quantum superreplication of states and gates
• Quantum Entanglement with Generalized Uncertainty Principle
• Approximate broadcasting of quantum correlations
• Multipartite monogamous relations for Entanglement and Discord
• Quantum Dynamic Programming
• Process estimation in presence of time-invariant memory effects
• Repeatable quantum memory channels
• Linear programming with unitary-equivariant constraints
• Quantum Cloning without Interference
• Sending classical information through relativistic quantum channels
• Quantum Telecloning on NISQ Computers
• Encrypted Qubits can be Cloned
• Response to defects in multi- and bipartite entanglement of isotropic quantum spin networks
• Experimental demonstration of optimal universal asymmetric quantum cloning of polarization states of single photons by partial symmetrization
• Broadcasting of correlations via orthogonal & non-orthogonal state dependent cloners
• General sequential quantum cloning
• Approximate quantum state reconstruction without a quantum channel
• Economical realization of phase covariant devices in arbitrary dimensions
• Non-monotonicity of trace distance under tensor products
• Rényi and von Neumann entropies of thermal state in Generalized Uncertainty Principle-corrected harmonic oscillator
• On state vs. channel quantum extension problems: exact results for UxUxU symmetry
• Device-independent and semi-device-independent entanglement certification in broadcast Bell scenarios
• Sequential quantum cloning under real-life conditions
• Schrödinger as a Quantum Programmer: Estimating Entanglement via Steering
• No-cloning theorem in thermofield dynamics
• Amplification uncertainty relation for probabilistic amplifiers
• Quantum Memory and Quantum Cloning in Atomic Frequency Comb
• Cloning of arbitrary mirror-symmetric distributions on Bloch sphere: Optimality proof and proposal for practical photonic realization
• Operational effects of the UNOT gate on classical and quantum correlations
• Quantum Cloning of Binary Coherent States - Optimal Transformations and Practical Limits
• The Asymmetric Quantum Cloning Region
• Universal covariant quantum cloning circuits for qubit entanglement manipulation
• Temperature effects on quantum cloning of states and entanglement
• Experimental replication of single-qubit quantum phase gates
• Dispensing of quantum information beyond no-broadcasting theorem -- is it possible to broadcast anything genuinely quantum?
• Quantum process tomography: the role of initial correlations
• Universal Asymmetric Quantum Cloning Revisited
• Polygamy relation of quantum correlations with equality
• Maximum Violation of Monogamy of Entanglement for Indistinguishable Particles by Measures that are Monogamous for Distinguishable Particles
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• Variational quantum cloning machine on an integrated photonic interferometer
• Photonic quantum simulator for unbiased phase covariant cloning
• Quantum-information Division and an Optimal Uncorrelated Channel
• Entanglement Classification of Restricted Greenberger-Horne-Zeilinger Symmetric States in Four-Qubit System
• Testing the Monogamy Relations via Rank-2 Mixtures
• Orthogonality Broadcasting and Quantum Position Verification
• Robust Macroscopic Quantum Measurements in the presence of limited control and knowledge
• Probabilistic quantum cloning of N quantum states
• Ontology and Quantum Mechanics
• Ensuring superior learning outcomes and data security for authorized learner
• Environment engineering to protect quantum coherence in tripartite systems under dephasing noise
• Quantum Process Randomness
• Implications of Quantum Computing for Artificial Intelligence alignment research
• Entanglement recovery in noisy binary quantum information protocols via three-qubit quantum error correction codes
• A Survey of OAM-Encoded High-Dimensional Quantum Key Distribution: Foundations, Experiments, and Recent Trends
• Quantum cloning transformation unlocks the potential of W class of states in a quantum secure direct communication protocol
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• Cloning in nonlinear Hamiltonian quantum and hybrid mechanics
• Three Party Quantum Networks Created by Quantum Cloning
• Process-optimized phase covariant quantum cloning
• Spectral Representation of Some Computably Enumerable Sets With an Application to Quantum Provability
• Limitations on Cloning in Classical Mechanics
• Entanglement - A Queer In The World Of Quantum : Some Perspectives
• State-Dependent Quantum Copying: an adaptive ancillary systems and its limitations
• Theory-Independent Context Incompatibility: Quantification and Experimental Demonstration
• Postponing the choice: advantage of deferred measurements in quantum information processing
• Distinguishing quantum states using time travelling qubits in a presence of thermal environments
• Compression of quantum shallow-circuit states
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