High-dimensional entanglement certification

Abstract

Quantum entanglement is the ability of joint quantum systems to possess global properties (correlation among systems) even when subsystems have no definite individual property. Whilst the 2-dimensional (qubit) case is well-understood, currently, tools to characterise entanglement in high dimensions are limited. We experimentally demonstrate a new procedure for entanglement certification that is suitable for large systems, based entirely on information-theoretics. It scales more efficiently than Bell's inequality, and entanglement witness. The method we developed works for arbitrarily large system dimension $d$ and employs only two local measurements of complementary properties. This procedure can also certify whether the system is maximally entangled. We illustrate the protocol for families of bipartite states of qudits with dimension up to $32$ composed of polarisation-entangled photon pairs.

References in corpus (8)

• Entanglement detection
• Testing the limits of quantum mechanical superpositions
• Generation of entangled states for many multilevel atoms in a thermal cavity and ions in thermal motion
• Experimental Perfect Quantum State Transfer
• Complementarity and correlations
• Experimental violation of Bell inequalities for multi-dimensional systems
• Collectibility for Mixed Quantum States
• Uncertainty Relation for Mutual Information

Cited by in corpus (9)

• Tailoring nonlinear processes for quantum optics with pulsed temporal-mode encodings
• Pearson Correlation Coefficient as a measure for Certifying and Quantifying High Dimensional Entanglement
• Design and Experimental Performance of Local Entanglement Witness Operators
• Multipartite correlations in mutually unbiased bases
• Complementary properties of multiphoton quantum states in linear optics networks
• Generation and evaluation of multipartite entanglement with multi-rail encoding in linear optics networks
• Entanglement Meter: Estimation of entanglement with single copy in Interferometer
• Measurement-device-independent Schmidt number certification of all entangled states
• Certifying entanglement dimensionality by $k$-reduction moments