Quantum cryptography with 3-state systems

Abstract

We consider quantum cryptographic schemes where the carriers of information are 3-state particles. One protocol uses four mutually unbiased bases and appears to provide better security than obtainable with 2-state carriers. Another possible method allows quantum states to belong to more than one basis. The security is not better, but many curious features arise.

11 pages Revtex

References in corpus (2)

• Quantum Cryptography using larger alphabets
• Polarization state of a biphoton: quantum ternary logic

Cited by in corpus (231)

• Quantum Cryptography
• The Security of Practical Quantum Key Distribution
• Entanglement of Orbital Angular Momentum States of Photons
• Security of quantum key distribution using d-level systems
• Quantum Information and Relativity Theory
• Advances in High Dimensional Quantum Entanglement
• A new proof for the existence of mutually unbiased bases
• Research on Hidden Variable Theories: a review of recent progresses
• Discrete phase space based on finite fields
• State-independent experimental test of quantum contextuality
• Higher-dimensional orbital angular momentum based quantum key distribution with mutually unbiased bases
• Quantum Information Scrambling in a Superconducting Qutrit Processor
• Contextuality in Measurement-based Quantum Computation
• Quantum spiral bandwidth of entangled two-photon states
• Generation of maximally entangled states of qudits using twin photons
• Overcoming Noise in Entanglement Distribution
• A Bell-type test of energy-time entangled qutrits
• Coherence and Decay of Higher Energy Levels of a Superconducting Transmon Qubit
• Experimental violation of a spin-1 Bell inequality using maximally-entangled four-photon states
• Kochen-Specker Contextuality
• Triggered qutrits for Quantum Communication protocols
• Complete and Deterministic discrimination of polarization Bell state assisted by momentum entanglement
• The Evolution of Quantum Secure Direct Communication: On the Road to the Qinternet
• Security of Quantum Key Distribution with Entangled Qutrits
• Mutually unbiased binary observable sets on N qubits
• Circular quantum secret sharing
• Qutrit state engineering with biphotons
• Qutrit randomized benchmarking
• All-Versus-Nothing Violation of Local Realism by Two-Photon, Four-Dimensional Entanglement
• Security of Quantum Key Distribution with entangled quNits
• Multi-path entanglement of two photons
• Collapses and revivals of stored orbital angular momentum of light in a cold atomic ensemble
• Increasing the dimension in high-dimensional two-photon orbital angular momentum entanglement
• Experimental engineering of arbitrary qudit states with discrete-time quantum walks
• Quantum key distribution for d-level systems with generalized Bell states
• Semiquantum key distribution using entangled states
• Entanglement in mutually unbiased bases
• The effect of atmospheric turbulence on entangled orbital angular momentum states
• On the structure of the sets of mutually unbiased bases for N qubits
• Symmetries in Quantum Key Distribution and the Connection between Optimal Attacks and Optimal Cloning
• Entanglement of the orbital angular momentum states of the photons generated in a hot atomic ensemble
• Entanglement of orbital angular momentum states between an ensemble of cold atoms and a photon
• Quantum Secret Sharing with Multi-level Mutually (Un-)Biased Bases
• Experimental generation and characterization of single-photon hybrid ququarts based on polarization-orbital angular momentum encoding
• Six-qubit permutation-based decoherence-free orthogonal basis
• Statistical Reconstruction of Qutrits
• Multicomplementary operators via finite Fourier transform
• A novel quantum key distribution scheme with orthogonal product states
• Memory cost of quantum contextuality
• Unconditionally Secure Key Distribution In Higher Dimensions By Depolarization
• Numerical evidence for the maximum number of mutually unbiased bases in dimension six
• Quantum Key Distribution using Multilevel Encoding: Security Analysis
• Quantum Key Distribution between N partners: optimal eavesdropping and Bell's inequalities
• Experimental Realization of Two Qutrits Gate with Tunable Coupling in Superconducting Circuits
• Coherent manipulation of a three-dimensional maximally entangled state
• Security bound of two-bases quantum key-distribution protocols using qudits
• Aspects of mutually unbiased bases in odd prime power dimensions
• Spectroscopic observation of the rotational Doppler effect
• Uncertainty Relation for the Discrete Fourier Transform
• High error-rate quantum key distribution for long-distance communication
• High-fidelity software-defined quantum logic on a superconducting qudit
• Polarization ququarts
• Time-efficient implementation of quantum search with qudits
• Quantum state engineering using one-dimensional discrete-time quantum walks
• Optimal estimation of multiple phases
• Geometrical approach to mutually unbiased bases
• State Tomography: Hidden Differences
• Minimum tomography of two entangled qutrits using local measurements of one-qutrit SIC-POVM
• Efficient entanglement purification protocols for d-level systems
• Mutually Unbiased Bases and Trinary Operator Sets for N Qutrits
• 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
• Cloning a Qutrit
• Preparation and characterization of arbitrary states of four-dimensional qudits based on biphotons
• Experimentally observed decay of higher-dimensional entanglement through turbulence
• Error Thresholds for Abelian Quantum Double Models: Increasing the bit-flip Stability of Topological Quantum Memory
• Protecting entanglement of twisted photons by adaptive optics
• Finite-key security analysis for multilevel quantum key distribution
• Complementarity Reveals Bound Entanglement of Two Twisted Photons
• Discrete phase-space structure of $n$-qubit mutually unbiased bases
• Mutually unbiased bases and discrete Wigner functions
• Quantum secure direct communication network with superdense coding and decoy photons
• Diffusion induced decoherence of stored optical vortices
• Proofs of the Kochen-Specker theorem based on the N-qubit Pauli group
• Realizing Ternary Quantum Switching Networks without Ancilla Bits
• Quantum phases of a qutrit
• Hong-Ou-Mandel interference of entangled Hermite-Gauss modes
• Generating qudits with d=3,4 encoded on two-photon states
• Qutrit-based semi-quantum key distribution protocol
• Real Mutually Unbiased Bases
• Preparation of W, GHZ, and two-qutrit states using bimodal cavities
• Orbital angular momentum based intra- and inter- particle entangled states generated via a quantum dot source
• Quantum key distribution protocol based on contextuality monogamy
• Round-Robin Differential Phase-Shift Quantum Key Distribution with Twisted Photons
• Spin chains for two-qubit teleportation
• Parity proofs of the Bell-Kochen-Specker theorem based on the 600-cell
• On the information-splitting essence of two types of quantum key distribution protocols
• Parity proofs of the Kochen-Specker theorem based on 60 complex rays in four dimensions
• Foundations of quantum theory and quantum information applications
• Orthogonality of Biphoton Polarization States
• Confined Contextuality in Neutron Interferometry: Observing the Quantum Pigeonhole Effect
• Simple and secure quantum key distribution with biphotons
• Min-entropy and quantum key distribution: non-zero key rates for "small" numbers of signals
• Quantum cloning attacks against PUF-based quantum authentication systems
• Hybrid controlled-SUM gate with one superconducting qutrit and one cat-state qutrit and application in hybrid entangled state preparation
• Evolution of entanglement for quantum mixed states
• Spin-1/2 sub-dynamics nested in the quantum dynamics of two coupled qutrits
• Dynamical learning of a photonics quantum-state engineering process
• A Quantum Random Number Generator Certified by Value Indefiniteness
• Measurement of qutrits
• Storage of orbital angular momenta of light via coherent population oscillation
• Classification and Quantification of Entangled Bipartite Qutrit Pure States
• Quantum correlation exists in any non-product state
• Recent advances in high-dimensional mode-locked quantum frequency combs
• Intermediate states in quantum cryptography and Bell inequalities
• Biphoton Spectrum Control
• Temperley-Lieb Algebra, Yang-Baxterization and Universal Gate
• Entanglement of the Hermite-Gaussian modes states of photons
• Entanglement and the SU(2) phase states in atomic systems
• Parity proofs of the Kochen-Specker theorem based on the 24 rays of Peres
• Fine-grained uncertainty relations for several quantum measurements
• Robustness of a quantum key distribution with two and three mutually unbiased bases
• Entanglement classification of 2 X 2 X 2 X d quantum systems via the ranks of the multiple coefficient matrices
• Deterministic and Efficient Quantum Cryptography Based on Bell's Theorem
• Practical Realization of the Quantum Cryptography Protocol Exploiting Polarization Encoding in the Qutrits
• Fast Partitioning of Pauli Strings into Commuting Families for Optimal Expectation Value Measurements of Dense Operators
• Mitigating the effect of atmospheric turbulence on orbital angular momentum-based quantum key distribution using real-time adaptive optics with phase unwrapping
• Measuring complete quantum states with a single observable
• Preserving multi-level quantum coherence by dynamical decoupling
• Generation of all sets of mutually unbiased bases for three-qubit systems
• Quantum Key Distribution with High Order Fibonacci-like Orbital Angular Momentum States
• Entanglement, local measurements, and symmetry
• Orbital-angular-momentum-based experimental test of Hardy's paradox for multisetting and multidimensional systems
• Combining spatio-temporal and particle-number degrees of freedom
• Classification of arbitrary-dimensional multipartite pure states under stochastic local operations and classical communication using the rank of coefficient matrix
• The Schmidt modes of biphoton qutrits: Poincare-sphere representation
• Mutually Unbiased Bases and Orthogonal Decompositions of Lie Algebras
• Protecting qudit operations from noise by continuous dynamical decoupling
• Orbits of mutually unbiased bases
• On Classical and Quantum Cryptography
• Qutrit Circuits and Algebraic Relations: A Pathway to Efficient Spin-1 Hamiltonian Simulation
• Sufficiency of quantum non-Gaussianity for discrete-variable quantum key distribution over noisy channel
• An expectation value expansion of Hermitian operators in a discrete Hilbert space
• GHZ paradoxes based on an even number of qubits
• Entanglement of a Single Spin-1 Object: An Example of Ubiquitous Entanglement
• States that "look the same" with respect to every basis in a mutually unbiased set
• A heralded two-qutrit entangled state
• Compatible Transformations for a Qudit Decoherence-free/Noiseless Encoding
• Universal entanglement decay of photonic orbital angular momentum qubit states in atmospheric turbulence: an analytical treatment
• General entanglement
• Postselection-free controlled generation of a high-dimensional orbital-angular-momentum entangled state
• Efficient quantum key distribution with trines of reference-frame-free qubits
• Phase control of a longitudinal momentum entangled photon state by a deformable membrane mirror
• Preparation of a Stable and Maximally Entangled State of Two Distant Qutrits Trapped in Separate Cavities
• Distillation Protocols for Mixed States of Multilevel Qubits and the Quantum Renormalization Group
• Pauli-based model of quantum computation with higher-dimensional systems
• Classification of Bipartite and Tripartite Qutrit Entanglement under SLOCC
• Mutually Unbiased Bases and Complementary Spin 1 Observables
• Structure of the sets of mutually unbiased bases with cyclic symmetry
• Manipulation of single-photon states encoded in transverse spatial modes: possible and impossible tasks
• Mutually Unbiased Bases In 3 and 4 Dimensions Semi-quantum Key Distribution Protocol
• Isomorphism between the Peres and Penrose proofs of the BKS theorem in three dimensions
• Measuring higher-dimensional entanglement
• A new method of construction of all sets of mutually unbiased bases for two-qubit systems
• Methods for Producing Decoherence-Free States and Noiseless Subsystems Using Photonic Qutrits
• Quantum state tomography using a single apparatus
• Efficient High-Dimensional Entangled State Analyzer with Linear Optics
• Experimentally Feasible Quantum-Key-Distribution Scheme Using Qubit-Like Qudits And Its Comparison With Existing Qubit- and Qudit-Based Protocols
• Three dimensional quantum key distribution in the presence of several eavesdroppers
• Distribution of a bipartite entanglement in a mixed spin-(1/2,1) Heisenberg tetramer
• Programmable time-frequency mode-sorting of single photons with a multi-output quantum pulse gate
• Performance of Quantum Key Distribution Protocol with Dual-Rail Displaced Photon States
• Multi-particle and High-dimension Controlled Order Rearrangement Encryption Protocols
• Quantum realism and quantum surrealism
• Biphoton states in correlated turbulence
• Optimal dimensionality for quantum cryptography
• Limit quantum efficiency for violation of Clauser-Horne Inequality for qutrits
• Minimizing state preparation times in pulse-level variational molecular simulations
• Quantum repeater using three-level atomic states in the presence of dissipation: stability of entanglement
• Experimental demonstration of a time-domain multidimensional quantum channel
• Universal pulses for superconducting qudit ladder gates
• Contextuality witness inspired by optimal state discrimination
• Transition of D- Level Quantum Systems Through Quantum Channels with Correlated Noise
• Exact solutions for time-optimal control of spin I=1 by NMR
• Operational measure of incompatibility of noncommuting observables
• Quantum Key Distribution with Fibonacci Orbital Angular Momentum States
• Graphical Classification of Entangled Qutrits
• On Preparing Entangled Pairs of Polarization Qubits in the Frequency Non-Degenerate Regime
• Economical realization of phase covariant devices in arbitrary dimensions
• Measurements on Composite Qudits
• Single-photon orbital angular momentum qudit states in fiber - Limits to Dephasing correction via dynamical decoupling
• Classification and Quantification of Entanglement Through Wedge Product and Geometry
• Attack of Many Eavesdroppers via Optimal Strategy in Quantum Cryptography
• Scalable scheme for entangling multiple ququarts using linear optical elements
• Generation of minimum energy entangled states
• Steered discrete-time quantum walks for engineering of quantum states
• Unconditionally Secure Quantum Key Distribution In Higher Dimensions
• Concentration of higher dimensional entanglement
• Proposal for a new scheme for producing a two-photon, high dimensional hyperentangled state
• Review of recent experimental progresses in Foundations of Quantum Mechanics and Quantum Information obtained in Parametric Down Conversion Experiments at IENGF
• Benchmarking of universal qutrit gates
• An Attack to Quantum Cryptography from Space
• Quantum algebra in the mixed light pseudoscalar meson states
• Energy bounds for entangled states
• Time-dependent Rabi frequencies to protect quantum operations on an atomic qutrit by continuous dynamical decoupling
• Optimal Error Correcting Code For Ternary Quantum Systems
• Manipulating quantum states with aspheric lenses
• The correspondence between mutually unbiased bases and mutually orthogonal extraordinary supersquares
• MUB-like structures and tomographic reconstruction for N-ququart systems
• Bounding the Classical Capacity of Multilevel Damping Quantum Channels
• Characterizing high-dimensional quantum contextuality
• From Quantum State Targeting to Bell Inequalities
• Wigner functional theory for quantum optics
• Modified Six State Cryptographic Protocol with Entangled Ancilla States
• Uncertainty relations between quantum Fisher information and entanglement monotones
• The quantification of a genuine tetrapartite entanglement in a mixed spin-(1/2,1) Heisenberg tetramer
• SIC-POVMs exist in all dimensions
• Resilient superconducting-element design with genetic algorithms
• Systematic Numerical Study of the Propagation of Monochromatic Radiation through a Stationary Atmosphere in a Model of Plane Plane-Parallel Layers
• Quantum Resonance near Optimal Eavesdropping in Quantum Cryptography
• A readout-integrated time-bin qutrit analyzer for echo-based quantum memories
• Entanglement transfer, accumulation and retrieval via quantum-walk-based qubit-qudit dynamics
• High-Dimensional Entanglement of Photonic Angular Qudits
• Improved Eavesdropping Detection in Quantum Key Distribution
• Fault-Tolerant Encoding of Logical Qudits in Spin 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
• Spatially encoded light for Large-alphabet Quantum Key Distribution
• Advances in Position-Momentum Entanglement: A Versatile Tool for Quantum Technologies
• Effect of Decoherence in Ekert-Protocol
• Exploiting degeneracy to construct good ternary quantum error correcting code
• Implementation of the quantum Fourier transform on a hybrid qubit-qutrit NMR quantum emulator