Optimal purification of single qubits
arXiv:quant-ph/9812075 · doi:10.1103/PhysRevLett.82.4344
Abstract
We introduce a new decomposition of the multiqubit states of the form and employ it to construct the optimal single qubit purification procedure. The same decomposition allows us to study optimal quantum cloning and state estimation of mixed states.
4 pages, 1 figure
References in corpus (2)
Cited by in corpus (96)
- Dynamical purification phase transitions induced by quantum measurements
- Fundamentals of Quantum Information Theory
- Direct detection of quantum entanglement
- A Practical Scheme for Entanglement Concentration
- Virtual Distillation for Quantum Error Mitigation
- Entanglement Witnesses in Spin Models
- Estimating the spectrum of a density operator
- Remote preparation of a single-mode photonic qubit by measuring field quadrature noise
- Efficient use of quantum resources for the transmission of a reference frame
- Permutationally invariant state reconstruction
- Local asymptotic normality for finite dimensional quantum systems
- Purification through Zeno-like Measurements
- Optimal estimation of group transformations using entanglement
- Optimal full estimation of qubit mixed states
- Local asymptotic normality for qubit states
- Towards measuring Entanglement Entropies in Many Body Systems
- Experimental Comparison of Efficient Tomography Schemes for a Six-Qubit State
- Quantum Darwinism in non-ideal environments
- Optimal probabilistic cloning and purification of quantum states
- Local asymptotic normality in quantum statistics
- Non-local Operations: Purification, storage, compression, tomography, and probabilistic implementation
- Classical information and distillable entanglement
- Optimal probabilistic storage and retrieval of unitary channels
- Fidelity trade-off for finite ensembles of identically prepared qubits
- Macroscopic singlet states for gradient magnetometry
- Macroscopic superpositions require tremendous measurement devices
- Superbroadcasting of mixed states
- Coherence distillation machines are impossible in quantum thermodynamics
- Optimal and Variational Multi-Parameter Quantum Metrology and Vector Field Sensing
- Collective vs local measurements in qubit mixed state estimation
- Quantum information becomes classical when distributed to many users
- Experimental Purification of Single Qubits
- Optimal estimation of qubit states with continuous time measurements
- Lower bound on the relative error of mixed-state cloning and related operations
- Realization of Universal Optimal Quantum Machines by Projective Operators and Stochastic Maps
- Optimal estimation of two-qubit pure-state entanglement
- Optimal compression for identically prepared qubit states
- Experimental purification of coherent states
- Measuring the purity of a qubit state: entanglement estimation with fully separable measurements
- Purity estimation with separable measurements
- Optimal quantum operations at zero energy cost
- Quantum state estimation and large deviations
- Multi-copy programmable discrimination of general qubit states
- Distillation of Entanglement between Distant Systems by Repeated Measurements on Entanglement Mediator
- Economical Quantum Secure Direct Communication Network with Single Photons
- Optimal State Discrimination Using Particle Statistics
- A relational quantum computer using only two-qubit total spin measurement and an initial supply of highly mixed single qubit states
- Distillation of Indistinguishable Photons
- Strong Algorithmic Cooling in Large Star-Topology Quantum Registers
- Design of a Universal Logic Block for Fault-Tolerant Realization of any Logic Operation in Trapped-Ion Quantum Circuits
- Beating noise with abstention in state estimation
- Arbitrary Amplification of Quantum Coherence in Asymptotic and Catalytic Transformation
- Eigenstate thermalization hypothesis in two-dimensional XXZ model with or without SU(2) symmetry
- Quantum amplification and purification of noisy coherent states
- Distilling angular momentum nonclassical states in trapped ions
- Optimal processing of reversible quantum channels
- Optimal phase estimation for qubit mixed states
- Suppression of Rabi oscillations for moving atoms
- Unified formalism for Thermal Quantum Field Theories: a geometric viewpoint
- Cooperative quantum information erasure
- Average pure-state entanglement entropy in spin systems with SU(2) symmetry
- Optimal Broadcasting of Mixed States
- Universal and phase covariant superbroadcasting for mixed qubit states
- Transfer of quantum states using finite resources
- Influence of dissipation on the extraction of quantum states via repeated measurements
- State estimation on correlated copies
- Steering Distillation by "Pulsed" and "Continuous" Measurements
- Streaming quantum state purification
- Ancilla-Error-Transparent Controlled Beam Splitter Gate
- Enhanced Quantum Estimation via Purification
- Resonant purification of mixed states for closed and open quantum systems
- Probabilistic metrology or how some measurement outcomes render ultra-precise estimates
- Multiparameter estimation for qubit states with collective measurements: a case study
- From Entanglement Witness to Generalized Catalan Numbers
- Global-fidelity limits of state-dependent cloning of mixed states
- A no-go result on the purification of quantum states
- Entanglement preservation on two coupled cavities
- Asymptotically optimal purification and dilution of mixed qubit and Gaussian states
- Quantum Dynamic Programming
- Probabilistic metrology defeats ultimate deterministic bound
- Explicit constructions of unitary transformations between equivalent irreducible representations
- Purification-based metric to measure the distance between quantum states and processes
- Fundamental limits on quantum cloning from the no-signalling principle
- Distillation of entanglement by projection on permutationally invariant subspaces
- Purification of Quantum State through Zeno-like Measurements
- Generic eigenstate preparation via measurement-based purification
- Superbroadcasting and classical information
- Tricritical point in the quantum Hamiltonian mean-field model
- Anti-symmetry consideration on the preservation of Entanglement of spin system
- Oscillations of the purity in the repeated-measurement-based generation of quantum states
- Minimax estimation of qubit states with Bures risk
- Extraction of a squeezed state in a field mode via repeated measurements on an auxiliary quantum particle
- Experimental Quantum Channel Purification
- Robust Macroscopic Quantum Measurements in the presence of limited control and knowledge
- Optimal Quantum Subtracting Machine
- Power and limitations of distributed quantum state purification