Experimentally Certified Transmission of a Quantum Message through an Untrusted and Lossy Quantum Channel via Bell's Theorem
arXiv:2304.09605 · doi:10.1103/PRXQuantum.6.030312
Abstract
Quantum transmission links are central elements in essentially all protocols involving the exchange of quantum messages. Emerging progress in quantum technologies involving such links needs to be accompanied by appropriate certification tools. In adversarial scenarios, a certification method can be vulnerable to attacks if too much trust is placed on the underlying system. Here, we propose a protocol in a device independent framework, which allows for the certification of practical quantum transmission links in scenarios where minimal assumptions are made about the functioning of the certification setup. In particular, we take unavoidable transmission losses into account by modeling the link as a completely-positive trace-decreasing map. We also, crucially, remove the assumption of independent and identically distributed samples, which is known to be incompatible with adversarial settings. Finally, in view of the use of the certified transmitted states for follow-up applications, our protocol moves beyond certification of the channel to allow us to estimate the quality of the transmitted quantum message itself. To illustrate the practical relevance and the feasibility of our protocol with currently available technology we provide an experimental implementation based on a state-of-the-art polarization entangled photon pair source in a Sagnac configuration and analyze its robustness for realistic losses and errors.
35 pages, 14 figures
References in corpus (10)
- Device-independent security of quantum cryptography against collective attacks
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- A wavelength-tunable fiber-coupled source of narrowband entangled photons
- Optimal Co-linear Gaussian Beams for Spontaneous Parametric Down-Conversion
- Experimental quantum process tomography of non trace-preserving maps
- Pulsed source of spectrally uncorrelated and indistinguishable photons at telecom wavelengths
- Asynchronous Quantum Repeater using Multiple Quantum Memory
- Overcoming the rate-distance limit of device-independent quantum key distribution
- Towards the device-independent certification of a quantum memory
- Quantum Metrology with Delegated Tasks