Genuine high-dimensional quantum steering
arXiv:2007.02718 · doi:10.1103/PhysRevLett.126.200404
Abstract
High-dimensional quantum entanglement can give rise to stronger forms of nonlocal correlations compared to qubit systems, offering significant advantages for quantum information processing. Certifying these stronger correlations, however, remains an important challenge, in particular in an experimental setting. Here we theoretically formalise and experimentally demonstrate a notion of genuine high-dimensional quantum steering. We show that high-dimensional entanglement, as quantified by the Schmidt number, can lead to a stronger form of steering, provably impossible to obtain via entanglement in lower dimensions. Exploiting the connection between steering and incompatibility of quantum measurements, we derive simple two-setting steering inequalities, the violation of which guarantees the presence of genuine high-dimensional steering, and hence certifies a lower bound on the Schmidt number in a one-sided device-independent setting. We report the experimental violation of these inequalities using macro-pixel photon-pair entanglement certifying genuine high-dimensional steering. In particular, using an entangled state in dimension , our data certifies a minimum Schmidt number of .
arXiv comment9 pages, 1 table, 5 figures
References in corpus (53)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Security of quantum key distribution using d-level systems
- Multidimensional quantum entanglement with large-scale integrated optics
- Experimental high-dimensional two-photon entanglement and violations of generalised Bell inequalities
- The Einstein-Podolsky-Rosen paradox: from concepts to applications
- High-dimensional quantum cryptography with twisted light
- Quantum Steering
- Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
- High-dimensional quantum communication: benefits, progress, and future challenges
- Quantum steering: a review with focus on semidefinite programming
- Experimental EPR-Steering of Bell-local States
- A Schmidt number for density matrices
- Multi-photon entanglement in high dimensions
- Provably-Secure and High-Rate Quantum Key Distribution with Time-Bin Qudits
- Entanglement Certification From Theory to Experiment
- Higher-dimensional orbital angular momentum based quantum key distribution with mutually unbiased bases
- Testing the Hilbert space dimension
- Security Proof for Quantum Key Distribution Using Qudit Systems
- Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality
- Closing the detection loophole in Bell experiments using qudits
- Loophole-free Einstein-Podolsky-Rosen experiment via quantum steering
- Conclusive quantum steering with superconducting transition edge sensors
- Schmidt number witnesses and bound entanglement
- Overcoming Noise in Entanglement Distribution
- Measurements in two bases are sufficient for certifying high-dimensional entanglement
- Inequivalence of entanglement, steering, and Bell nonlocality for general measurements
- Joint measurability of generalized measurements implies classicality
- A Bell-type test of energy-time entangled qutrits
- Arbitrarily loss-tolerant Einstein-Podolsky-Rosen steering allowing a demonstration over 1 km of optical fiber with no detection loophole
- One-to-one mapping between steering and joint measurability problems
- Quantifying photonic high-dimensional entanglement
- Introduction to the Transverse Spatial Correlations in Spontaneous Parametric Down-Conversion through the Biphoton Birth Zone
- Quantifying quantum resources with conic programming
- Hierarchy of Steering Criteria Based on Moments for All Bipartite Quantum Systems
- High-Dimensional Pixel Entanglement: Efficient Generation and Certification
- Unscrambling Entanglement through a Complex Medium
- Quantatitive relations between measurement incompatibility, quantum steering, and nonlocality
- Maximal randomness expansion from steering inequality violations using qudits
- Weak randomness in device independent quantum key distribution and the advantage of using high dimensional entanglement
- Quantifying measurement incompatibility of mutually unbiased bases
- Incompatibility robustness of quantum measurements: a unified framework
- Is high-dimensional photonic entanglement robust to noise?
- Experimental Measurement-Device-Independent Quantum Steering and Randomness Generation Beyond Qubits
- Quantifying entanglement in a 68-billion dimensional quantum state space
- Unbounded violation of quantum steering inequalities
- Witnessing irreducible dimension
- Continuous variable steering and incompatibility via state-channel duality
- Quantification of multidimensional entanglement stored in a crystal
- Loss-tolerant EPR steering for arbitrary dimensional states: joint measurability and unbounded violations under losses
- Adaptive strategy for joint measurements
- Steering maps and their application to dimension-bounded steering
- Certification of high-dimensional entanglement and Einstein-Podolsky-Rosen steering with cold atomic quantum memory
- A new device-independent dimension witness and its experimental implementation
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- High-Dimensional Pixel Entanglement: Efficient Generation and Certification
- Incompatible measurements in quantum information science
- Spin Quantum Heat Engine Quantified by Quantum Steering
- Inverse-design of high-dimensional quantum optical circuits in a complex medium
- Experimental investigation of quantum correlations in a two-qutrit spin system
- Retrieving High-Dimensional Quantum Steering From a Noisy Environment with N Measurement Settings
- Noise-Robust and Loss-Tolerant Quantum Steering with Qudits
- Fermionic steering and its monogamy relations in Schwarzschild spacetime
- Quantifying high-dimensional spatial entanglement with a single-photon-sensitive time-stamping camera
- Nonlocality, steering and quantum state tomography in a single experiment
- Quantum steering with imprecise measurements
- Self-testing of any pure entangled state with minimal number of measurements and optimal randomness certification in one-sided device-independent scenario
- Simulability of high-dimensional quantum measurements
- Complete hierarchy for high-dimensional steering certification
- Robust genuine high-dimensional steering with many measurements
- Quantum steering with vector vortex photon states with the detection loophole closed
- Unlimited One-Way Steering
- Characterising and Tailoring Spatial Correlations in Multi-Mode Parametric Downconversion
- Quantum measurement incompatibility in subspaces
- Device-independent verification of Einstein-Podolsky-Rosen steering
- Detecting the dimensionality of genuine multi-particle entanglement
- Semidefinite relaxations for high-dimensional entanglement in the steering scenario
- Shaping entangled photons through thick scattering media using an advanced wave beacon
- Distrustful quantum steering
- Quantum stochastic communication via high-dimensional entanglement
- Entanglement Verification of Hyperentangled Photon Pairs
- Equivalence between simulability of high-dimensional measurements and high-dimensional steering
- Detecting quantum steering in networks
- The Schmidt rank for the commuting operator framework
- Quantum Steering on IBMQ
- Certifying high-dimensional quantum channels
- Experimental single-copy distillation of quantumness from higher-dimensional entanglement
- Nonlocal transfer of high-dimensional unitary operations
- Maximal violation of steering inequalities and the matrix cube
- Naimark dilations of qubit POVMs and joint measurements
- Entanglement Cost for Steering Assemblages
- Compressing continuous variable quantum measurements
- Certifying the dimensionality of any quantum channel with minimal assumptions
- Tripartite quantum steering in Schwarzschild spacetime
- Heralded High-Dimensional Photon-Photon Quantum Gate
- Measurement-device-independent Schmidt number certification of all entangled states
- Generating Asymmetric Einstein-Podolsky-Rosen Steering between Two movable Mirrors Exploiting Correlated-Emission Laser
- Semi-device-independent certification of number of measurements
- Threshold (Q, P) Quantum Distillation
- Extremal Steering Assemblages
- Witness High-Dimensional Quantum Steering via Majorization Lattice
- Imprecise quantum steering inequalities in tripartite systems