Experimental Tests of Classical and Quantum Dimensions

Abstract

We report on an experimental test of classical and quantum dimension. We have used a dimension witness which can distinguish between quantum and classical systems of dimension 2,3 and 4 and performed the experiment for all five cases. The witness we have chosen is a base of semi-device independent cryptographic and randomness expansion protocols. Therefore, the part of the experiment, in which qubits were used, is a realization of these protocols. In our work we also present an analytic method for finding the maximal quantum value of the witness along with corresponding measurements and preparations. This method is quite general and can be applied to any linear dimension witness.

Almost identical with the published version

References in corpus (6)

• Testing the Hilbert space dimension
• Device-independent tests of classical and quantum dimensions
• Semi-device-independent security of one-way quantum key distribution
• A lower bound on the dimension of a quantum system given measured data
• Dimension witnesses and quantum state discrimination
• Relation between semi- and fully-device-independent protocols

Cited by in corpus (36)

• Semidefinite programming relaxations for quantum correlations
• Correlations in entanglement-assisted prepare-and-measure scenarios
• Spatial versus Sequential Correlations for Random Access Coding
• Exact dimension estimation of interacting qubit systems assisted by a single quantum probe
• Device-independent certification of Hilbert space dimension using a family of Bell expressions
• Leggett-Garg Macrorealism and temporal correlations
• Properties of dimension witnesses and their semi-definite programming relaxations
• Complementarity between entanglement-assisted and quantum distributed random access code
• Device independent certification of a quantum delayed choice experiment
• A universal scheme for robust self-testing in the prepare-and-measure scenario
• A new device-independent dimension witness and its experimental implementation
• Genuine temporal correlations can certify the quantum dimension
• The Magical Number Seven: An Unexpected Dimensional Threshold in Quantum Communication Complexity
• Quantum Random Access Codes for Boolean Functions
• Detection efficiency and noise in semi-device independent randomness extraction protocol
• Device and semi-device independent random numbers based on non-inequality paradox
• Ability of unbounded pairs of observers to achieve quantum advantage in random access codes with a single pair of qubits
• Device independent witness of arbitrary dimensional quantum systems employing binary outcome measurements
• Certification of qubits in the prepare-and-measure scenario with large input alphabet and connections with the Grothendieck constant
• A general bound for the dimension of quantum behaviours in the prepare-and-measure scenario
• Quantum Random Access Code in Noisy Channels
• Optimal classical and quantum real and complex dimension witness
• Evidence-based certification of quantum dimensions
• Self-testing of semisymmetric informationally complete measurements in a qubit prepare-and-measure scenario
• Precise certification of a qubit space
• An unconditional experimental test of Nonclassicality
• Quantum null-hypothesis device-independent Schmidt rank witness
• Role of nonclassical temporal correlation in powering quantum random access codes
• Experimental Device-Independent Tests of Classical and Quantum Entropy
• Null dimension witness based on single measurements
• Quantum dimension witness with a single repeated operation
• Extracting the physical sector of quantum states
• Detection Efficiency Bounds in (Semi-)Device-Independent Scenarios
• Cross-platform certification of the qubit space with a minimal number of parameters
• Device-independent dimension leakage null test on qubits at low operational cost
• Quantum dimension test using the uncertainty principle