Self-testing mutually unbiased bases in higher dimensions with space-division multiplexing optical fiber technology

Abstract

In the device-independent quantum information approach, the implementation of a given task can be self-tested solely from the recorded statistics and without detailed models for the employed devices. Even though experimentally demanding, it provides appealing verification schemes for advanced quantum technologies that naturally fulfil the associated requirements. In this work, we experimentally study whether self-testing protocols can be adopted to certify the proper functioning of new quantum devices built with modern space-division multiplexing optical fiber technology. Specifically, we consider the prepare-and-measure protocol of M.~Farkas and J.~Kaniewski (Phys.~Rev.~A 99, 032316) for self-testing measurements corresponding to mutually unbiased bases (MUBs) in a dimension $d>2$. In our scheme, the state preparation and measurement stages are implemented with a multi-arm interferometer built with new multi-core optical fibers and related components. Due to the high-overlap of the interferometer's optical modes achieved with this technology, we are able to reach the required visibilities for self-testing the implementation of two four-dimensional MUBs. We also quantify two operational quantities of the measurements: (i) the incompatibility robustness, connected to Bell violations, and (ii) the randomness extractable from the outcomes. Since MUBs lie at the core of several quantum information protocols, our results are of practical interest for future quantum works relying on space-division multiplexing optical fibers.

References in corpus (39)

• Quantum Cryptography
• Space Division Multiplexing in Optical Fibres
• Device-independent security of quantum cryptography against collective attacks
• On mutually unbiased bases
• Entropic Uncertainty Relations and their Applications
• Violations of local realism by two entangled quNits are stronger than for two qubits
• Self-testing of quantum systems: a review
• The Photonic Lantern
• A double-slit quantum eraser
• Device-independent tests of classical and quantum dimensions
• Semi-device-independent security of one-way quantum key distribution
• Computational advantage from quantum-controlled ordering of gates
• Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality
• High-Dimensional Quantum Key Distribution based on Multicore Fiber using Silicon Photonic Integrated Circuits
• Device-independent witnesses of genuine multipartite entanglement
• Quantum information processing with space-division multiplexing optical fibres
• Experimental estimation of the dimension of classical and quantum systems
• High-dimensional decoy-state quantum key distribution over 0.3 km of multicore telecommunication optical fibers
• Quantum key distribution over multicore fiber
• Robust Self Testing of Unknown Quantum Systems into Any Entangled Two-Qubit States
• Quantum Random Access Codes using Single $d$-level Systems
• MHz-rate semi-device-independent quantum random number generators based on unambiguous state discrimination
• Experimental Device-independent Tests of Classical and Quantum Dimensions
• Semi-device-independent framework based on natural physical assumptions
• Experimental quantum tomography of photonic qudits via mutually unbiased basis
• Air-core fiber distribution of hybrid vector vortex-polarization entangled states
• Device-independent bounds for Hardy's experiment
• Noise Robustness of the Incompatibility of Quantum Measurements
• Self-testing mutually unbiased bases in the prepare-and-measure scenario
• Maximal nonlocality from maximal entanglement and mutually unbiased bases, and self-testing of two-qutrit quantum systems
• Device-Independent Certification of a Nonprojective Qubit Measurement
• Device-independent certification of high-dimensional quantum systems
• High-dimensional quantum communication complexity beyond strategies based on Bell's theorem
• Certifying an irreducible 1024-dimensional photonic state using refined dimension witnesses
• Experimental investigation of partially entangled states for device-independent randomness generation and self-testing protocols
• Decoherence in a double-slit quantum eraser
• Increased Certification of Semi-device Independent Random Numbers using Many Inputs and More Postprocessing
• Device-independent certification of the teleportation of a qubit
• Hiding Ignorance Using High Dimensions

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• Semi-device-independent framework based on restricted distrust in prepare-and-measure experiments
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• Almost qudits in the prepare-and-measure scenario
• Quantum Random Access Codes for Boolean Functions
• Optimal interferometry for Bell$-$nonclassicality by a vacuum$-$one$-$photon qubit
• Prepare-and-measure scenarios with photon-number constraints
• Minimum optical depth multiport interferometers for approximating arbitrary unitary operations and pure states
• Binarisation of multi-outcome measurements in high-dimensional quantum correlation experiments