Semi-device-independent self-testing of unitary operations
arXiv:2604.19911 · doi:10.1103/94pf-njhr
Abstract
We present a hitherto unexplored semi-device-independent (SDI) self-testing protocol designed to certify unitary operations within a variant of prepare-measure framework. We consider a communication game which we refer to as a variant of -bit prepare-measure random access code (PMRAC) involving two parties, Alice and Bob, who share a prior two-qubit quantum state. Alice encodes her message by applying unitary operations on her subsystem and sends it to Bob. To decode the message, Bob performs a measurement on the whole system. We demonstrate that the optimal quantum advantage of the variant of -bit PMRAC over the classical bound enables the self-testing of Alice's unitary operations and Bob's measurements. The derivation of the optimal quantum success probability is fully analytical. The approach is so elegant that it can be generalized for any arbitrary -bit PMRAC and may also be extended to other prepare-measure communication games.
References in corpus (45)
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Bell nonlocality
- Significant-loophole-free test of Bell's theorem with entangled photons
- A strong loophole-free test of local realism
- Self-testing of quantum systems: a review
- Unconditionally verifiable blind computation
- Preparation contextuality powers parity-oblivious multiplexing
- A self-testing quantum random number generator
- Semi-device independent random number expansion without entanglement
- Quantum Random Access Codes using Single -level Systems
- Self-testing quantum states and measurements in the prepare-and-measure scenario
- Semi-device independent random number expansion protocol with n to 1 quantum random access codes
- Entanglement assisted random access codes
- Self-testing mutually unbiased bases in the prepare-and-measure scenario
- Self-testing non-projective quantum measurements in prepare-and-measure experiments
- Sequential random access codes and self-testing of quantum measurement instruments
- Certifying the building blocks of quantum computers from Bell's theorem
- (4,1)-Quantum Random Access Coding Does Not Exist
- Experimental characterisation of unsharp qubit observables and sequential measurement incompatibility via quantum random access codes
- Semi-device-independent self-testing of unsharp measurements
- Communication games reveal preparation contextuality
- Entanglement-assisted quantum communication with simple measurements
- Optimal quantum preparation contextuality in -bit parity-oblivious multiplexing task
- Correlations in entanglement-assisted prepare-and-measure scenarios
- Experimentally feasible semi-device-independent certification of outcome POVMs
- Spatial versus Sequential Correlations for Random Access Coding
- Experimental certification of an informationally complete quantum measurement in a device-independent protocol
- Device-independent characterization of quantum instruments
- Device-independent certification of Hilbert space dimension using a family of Bell expressions
- Limited preparation contextuality in quantum theory and its relation to the Cirel'son bound
- Semi-device-independent characterisation of multipartite entangled states and measurements
- Semi-device-independent certification of independent quantum state and measurement devices
- Experimental self-characterization of quantum measurements
- Device-independent tests of quantum channels
- Oblivious communication game, self-testing of projective and non-projective measurements and certification of randomness
- Complementarity between entanglement-assisted and quantum distributed random access code
- Almost qudits in the prepare-and-measure scenario
- Self-testing in prepare-and-measure scenarios and a robust version of Wigner's theorem
- Device-independent self-testing of unsharp measurements
- Self-testing and certification using trusted quantum inputs
- Robust Bell inequalities from communication complexity
- Self-testing of multiple unsharpness parameters through sequential violations of non-contextual inequality
- Model-independent inference of quantum interaction from statistics
- Self-testing in a constrained prepare-measure scenario sans assuming quantum dimension
- Classical certification of quantum gates under the dimension assumption