Optimal eavesdropping in cryptography with three-dimensional quantum states
arXiv:quant-ph/0106126 · doi:10.1103/PhysRevLett.88.127901
Abstract
We study optimal eavesdropping in quantum cryptography with three-dimensional systems, and show that this scheme is more secure than protocols using two-dimensional states. We generalize the according eavesdropping transformation to arbitrary dimensions, and discuss the connection with optimal quantum cloning.
4 pages, 2 figures
References in corpus (1)
Cited by in corpus (184)
- Security of quantum key distribution using d-level systems
- Generation of Hyperentangled Photons Pairs
- On mutually unbiased bases
- Quantum Information and Relativity Theory
- Quantum cloning
- Device-independent quantum key distribution secure against collective attacks
- Research on Hidden Variable Theories: a review of recent progresses
- Discrete phase space based on finite fields
- Cryptanalysis of the Hillery-Buzek-Berthiaume quantum secret-sharing protocol
- Quantum Information Scrambling in a Superconducting Qutrit Processor
- A Bell-type test of energy-time entangled qutrits
- Quantum communication complexity protocol with two entangled qutrits
- Discrete, Tunable Color Entanglement
- Manipulating biphotonic qutrits
- Security of Quantum Key Distribution with Entangled Qutrits
- Numerical approach for unstructured quantum key distribution
- Qutrit state engineering with biphotons
- Qutrit randomized benchmarking
- Security of Quantum Key Distribution with entangled quNits
- Coherent manipulation of a molecular Ln-based nuclear qudit coupled to an electron qubit
- Quantum Cloning Machines and the Applications
- Practical trapped-ion protocols for universal qudit-based quantum computing
- Mutually unbiased measurements in finite dimensions
- Single qudit realization of the Deutsch algorithm using superconducting many-level quantum circuits
- Experimental engineering of arbitrary qudit states with discrete-time quantum walks
- Optimal phase covariant cloning for qubits and qutrits
- Symmetries in Quantum Key Distribution and the Connection between Optimal Attacks and Optimal Cloning
- Generation of entangled states of two three-level atoms in cavity QED
- Experimental generation and characterization of single-photon hybrid ququarts based on polarization-orbital angular momentum encoding
- Six-qubit permutation-based decoherence-free orthogonal basis
- Scalable quantum computing with qudits on a graph
- Unconditionally Secure Key Distribution In Higher Dimensions By Depolarization
- Efficient preparation and detection of microwave dressed-state qubits and qutrits with trapped ions
- Three-dimensional entanglement on a silicon chip
- Numerical evidence for the maximum number of mutually unbiased bases in dimension six
- Experimental Realization of Two Qutrits Gate with Tunable Coupling in Superconducting Circuits
- Error tolerance of two-basis quantum key-distribution protocols using qudits and two-way classical communication
- Security bound of two-bases quantum key-distribution protocols using qudits
- Proof-of-principle experiment of reference-frame-independent quantum key distribution with phase coding
- Geometry of Quantum Computation with Qutrits
- High error-rate quantum key distribution for long-distance communication
- Multi-photon dressing of an anharmonic superconducting many-level quantum circuit
- Polarization ququarts
- Time-efficient implementation of quantum search with qudits
- Entanglement Detection Beyond Measuring Fidelities
- Quantum state engineering using one-dimensional discrete-time quantum walks
- Optimal estimation of multiple phases
- Minimum tomography of two entangled qutrits using local measurements of one-qutrit SIC-POVM
- Mutually Unbiased Bases and Trinary Operator Sets for N Qutrits
- Fibre-optics implementation of asymmetric phase-covariant quantum cloner
- Experimental Realization of Polarization Qutrits from Non-Maximally Entangled States
- Quantum entanglement and position-momentum entropic squeezing of a moving Lambda-type three-level atom interacting with a single-mode quantized field with intensity-dependent coupling
- Tomographic Quantum Cryptography
- Finite-key security analysis for multilevel quantum key distribution
- Quantum capacity analysis of multi-level amplitude damping channels
- Detecting mixedness of qutrit systems using the uncertainty relation
- Mutually unbiased bases and discrete Wigner functions
- Hong-Ou-Mandel interference of entangled Hermite-Gauss modes
- Complete unitary qutrit control in ultracold atoms
- Tomographic Quantum Cryptography: Equivalence of Quantum and Classical Key Distillation
- Generating qudits with d=3,4 encoded on two-photon states
- Spin chains for two-qubit teleportation
- Orthogonality of Biphoton Polarization States
- Optimal realization of the transposition maps
- Simple and secure quantum key distribution with biphotons
- Entanglement production and decoherence-free subspace of two single-mode cavities embedded in a common environment
- Min-entropy and quantum key distribution: non-zero key rates for "small" numbers of signals
- Finite key analysis for symmetric attacks in quantum key distribution
- Evolution of entanglement for quantum mixed states
- The quantum brachistochrone problem for an arbitrary spin in a magnetic field
- Quantum Cloning of Mixed States in Symmetric Subspace
- Hybrid controlled-SUM gate with one superconducting qutrit and one cat-state qutrit and application in hybrid entangled state preparation
- Bi-directional mapping between polarization and spatially encoded photonic qutrits
- Measurement of qutrits
- Experimental implementation of time-coding quantum key distribution
- Dynamical learning of a photonics quantum-state engineering process
- Correspondence between continuous variable and discrete quantum systems of arbitrary dimensions
- Inverse engineering rigorous adiabatic Hamiltonian for non-Hermitian system
- Entanglement Patterns in Mutually Unbiased Basis Sets for N Prime-state Particles
- Graph-state formalism for mutually unbiased bases
- Generation of three-dimensional entanglement between two spatially separated atoms via shortcuts to adiabatic passage
- Biphoton Spectrum Control
- Intermediate states in quantum cryptography and Bell inequalities
- Construction of efficient Schmidt number witnesses for high-dimensional quantum states
- Inequalities Detecting Quantum Entanglement for Systems
- Temperley-Lieb Algebra, Yang-Baxterization and Universal Gate
- Concurrence Vectors for Entanglement of High-dimensional Systems
- Quantum Simulations of SO(5) Many-Fermion Systems using Qudits
- Conditional implementation of asymmetrical universal quantum cloning machine
- Optimum unambiguous identification of d unknown pure qudit states
- Propagation of generalized Pauli errors in qudit Clifford circuits
- High-dimensional entanglement certification
- Full characterization of modular values for two-dimensional systems
- Iterative procedure for computing accessible information in quantum communication
- Robustness of a quantum key distribution with two and three mutually unbiased bases
- How well can you know the edge of a quantum pyramid?
- Maximally Entangled States of Four Nonbinary Particles
- Practical Realization of the Quantum Cryptography Protocol Exploiting Polarization Encoding in the Qutrits
- Forty Thousand Kilometers Under Quantum Protection
- Distribution of quantum Fisher information in asymmetric cloning machines
- Experimental quantum tomography assisted by multiply symmetric states in higher dimensions
- Transferring arbitrary d-dimensional quantum states of a superconducting qudit in circuit QED
- Generation of 1.5 μm discrete frequency entangled two-photon state in polarization maintaining fibers
- Optimal reconstruction of states in qutrits system
- Resource-efficient fault-tolerant one-way quantum repeater with code concatenation
- Majorana representation, qutrit Hilbert space and NMR implementation of qutrit gates
- Protecting qudit operations from noise by continuous dynamical decoupling
- Generation of long-living entanglement between two distant three-level atoms in non-Markovian environments
- Qutrit Circuits and Algebraic Relations: A Pathway to Efficient Spin-1 Hamiltonian Simulation
- Heralded generation of symmetric and asymmetric entangled qudits with weak cross-Kerr nonlinearity
- Controlled entanglement routing between two virtual pathways
- Entanglement of a Single Spin-1 Object: An Example of Ubiquitous Entanglement
- Compatible Transformations for a Qudit Decoherence-free/Noiseless Encoding
- General entanglement
- Beating direct transmission bounds for quantum key distribution with a multiple quantum memory station
- An effective spin-1 Heisenberg chain in coupled cavities
- Generating and detecting bound entanglement in two-qutrits using a family of indecomposable positive maps
- Preparation of a Stable and Maximally Entangled State of Two Distant Qutrits Trapped in Separate Cavities
- Efficient and flexible generation of entangled qudits with cross phase modulation
- Efficient quantum key distribution with trines of reference-frame-free qubits
- Asymmetric broadcasting of quantum correlations
- Bipartite qutrit local realist inequalities and the robustness of their quantum mechanical violation
- Measuring higher-dimensional entanglement
- Reversibility of continuous-variable quantum cloning
- Manipulation of single-photon states encoded in transverse spatial modes: possible and impossible tasks
- Pauli-based model of quantum computation with higher-dimensional systems
- Efficient detection of multidimensional single-photon time-bin superpositions
- Asymmetric quantum multicast network coding: asymmetric optimal cloning over quantum networks
- Methods for Producing Decoherence-Free States and Noiseless Subsystems Using Photonic Qutrits
- Quantum phase transitions and critical behaviors in the two-mode three-level quantum Rabi model
- Entanglement creation and distribution on a graph of exchange-coupled qutrits
- Self-calibrating tomography for multi-dimensional systems
- Scalable Generation and Characterization of a Four-Photon Twelve-Qubit Hyperentangled State
- Programmable time-frequency mode-sorting of single photons with a multi-output quantum pulse gate
- The noisy Werner-Holevo channel and its properties
- Universal pulses for superconducting qudit ladder gates
- Optimal dimensionality for quantum cryptography
- Limit quantum efficiency for violation of Clauser-Horne Inequality for qutrits
- Weyl channels for multipartite systems
- Measurements on Composite Qudits
- Robustness of the BB84 quantum key distribution protocol against general coherent attacks
- Teleportation in an indivisible quantum system
- Orbital Angular Momentum embedded Einstein Podolsky Rosen Entanglement Generated from Cold Atoms
- Graphical Classification of Entangled Qutrits
- Provable entanglement and information cost for qubit-based quantum key-distribution protocols
- Separated Schmidt modes in the angular spectrum of biphotons
- Economical realization of phase covariant devices in arbitrary dimensions
- Attack of Many Eavesdroppers via Optimal Strategy in Quantum Cryptography
- High-dimensional Bell test for a continuous variable state in phase space and its robustness to detection inefficiency
- Review of recent experimental progresses in Foundations of Quantum Mechanics and Quantum Information obtained in Parametric Down Conversion Experiments at IENGF
- Proposal for a new scheme for producing a two-photon, high dimensional hyperentangled state
- Memory effects in high-dimensional systems faithfully identified by Hilbert-Schmidt speed-based witness
- Unconditionally Secure Quantum Key Distribution In Higher Dimensions
- Adaptive State Fidelity Estimation for Higher Dimensional Bipartite Entanglement
- Complete analysis and generation of hyperentangled Greenberger-Horne-Zeilinger state for photons using quantum-dot spins in optical microcavities
- Time-dependent Rabi frequencies to protect quantum operations on an atomic qutrit by continuous dynamical decoupling
- Measurement of a spin-1 system
- Mixed basis quantum key distribution with linear optics
- Bounding the Classical Capacity of Multilevel Damping Quantum Channels
- Qudit low-density parity-check codes
- High robustness quantum walk search algorithm with qudit Householder traversing coin, machine learning study
- Modified Six State Cryptographic Protocol with Entangled Ancilla States
- Feasible superadiabatic-based shortcuts for fast generating 3D entanglement between two atoms
- Information vs. Disturbance in Dimension D
- Finite-Function-Encoding Quantum States
- Quantum enhancement of qutrit dynamics through driving field and photonic band-gap crystal
- On Admissible States of Quantum Fourier Transform
- Codes for Key Generation in Quantum Cryptography
- Entanglement transfer, accumulation and retrieval via quantum-walk-based qubit-qudit dynamics
- Quantum Resonance near Optimal Eavesdropping in Quantum Cryptography
- Resilient superconducting-element design with genetic algorithms
- Heralded High-Dimensional Photon-Photon Quantum Gate
- Measurement-based quantum computing with qudit stabilizer states
- Systematic Numerical Study of the Propagation of Monochromatic Radiation through a Stationary Atmosphere in a Model of Plane Plane-Parallel Layers
- Security analysis of the time-coding quantum key distribution protocols
- Effect of Decoherence in Ekert-Protocol
- Controlling Quantum Coherence of V-type Atom in Dissipative Cavity by Detuning and Weak Measurement Reversal
- Encoder Circuit Optimization for Non-Binary Quantum Error Correction Codes in Prime Dimensions: An Algorithmic Framework
- Virtual Cloning of Quantum States
- Mutually unbiased measurements with arbitrary purity
- Broadcasting of NPT Entanglement in Two Qutrit Systems
- Generation and nonclassicality of entangled states via the interaction of two three-level atoms with a quantized cavity field assisted by a driving external classical field
- Synchronous concentration and purification schemes of arbitrary unknown hyperentangled mixed states
- Blind quantum computing with different qudit resource state architectures