Semi-device-independent certification of quantum non-Markovianity using sequential Random Access Codes
arXiv:2309.16190 · doi:10.1103/PhysRevA.110.012608
Abstract
The characterization of multi-time correlations in open quantum systems is of fundamental importance. In this work, we investigate multi-time processes using the process matrix formalism and show that the presence of a quantum non-Markovian environment plays a significant role in enhancing the communication capacity in sequential prepare-transform-measure Quantum Random Access Codes (QRAC). The correlated environment enables a quantum advantage to multiple parties, even with projective measurements. In particular, we show that the Markovian and classical non-Markovian processes, i.e. quantum processes with classical feedback from the environment, do not yield sequential quantum advantage. In contrast, it is possible to achieve an advantage in the presence of a quantum non-Markovian environment. Therefore this approach allows a semi-device-independent certification of quantum non-Markovianity. As opposed to entanglement-detection criteria which require the knowledge of the complete process, this method allows to certify the presence of a quantum non-Markovian environment from the observed measurement statistics. Moreover, quantum memory ameliorates the unambiguous certifiable region of unsharp instruments in a semi-device-independent manner.
arXiv comment16 Pages, 9 figures
References in corpus (57)
- A computable measure of entanglement
- Device-independent security of quantum cryptography against collective attacks
- Random Numbers Certified by Bell's Theorem
- Non-Markovian dynamics in open quantum systems
- Entanglement and non-Markovianity of quantum evolutions
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Quantum correlations with no causal order
- Non-locality and Communication Complexity
- Assessing non-Markovian dynamics
- Device-independent quantum key distribution secure against collective attacks
- Quantum Decoherence
- Free randomness can be amplified
- Concepts of quantum non-Markovianity: a hierarchy
- Non-Markovian quantum processes: complete framework and efficient characterisation
- Device-independent tests of classical and quantum dimensions
- Semi-device-independent security of one-way quantum key distribution
- Operational Markov condition for quantum processes
- Quantum causal modelling
- Demonstration of fidelity improvement using dynamical decoupling with superconducting qubits
- Detecting crosstalk errors in quantum information processors
- Witnessing causal nonseparability
- Quantum stochastic processes and quantum non-Markovian phenomena
- Demonstration of non-Markovian process characterisation and control on a quantum processor
- Dimension witnesses and quantum state discrimination
- Semi-device independent random number expansion without entanglement
- Quantum Random Access Codes using Single -level Systems
- Completely Positive Divisibility Does Not Mean Markovianity
- Removing leakage-induced correlated errors in superconducting quantum error correction
- Self-testing quantum states and measurements in the prepare-and-measure scenario
- Certifying the dimension of classical and quantum systems in a prepare-and-measure scenario with independent devices
- Entanglement assisted random access codes
- Operational approach to open dynamics and quantifying initial correlations
- Self-testing non-projective quantum measurements in prepare-and-measure experiments
- Sequential random access codes and self-testing of quantum measurement instruments
- Semidefinite Programming in Quantum Information Science
- Experimental characterisation of unsharp qubit observables and sequential measurement incompatibility via quantum random access codes
- Non-Markovian quantum dynamics: What does it mean?
- Semi-device-independent self-testing of unsharp measurements
- Controllable Non-Markovianity for a Spin Qubit in Diamond
- Quantum communication complexity advantage implies violation of a Bell inequality
- Updating the Born rule
- Quantum contextuality provides communication complexity advantage
- Effect of Markov and Non-Markov Classical Noise on Entanglement Dynamics
- Experimental Demonstration of Sequential Quantum Random Access Codes
- Witnessing quantum memory in non-Markovian processes
- Experimental characterisation of a non-Markovian quantum process
- Quantum non-Markovianity: Overview and recent developments
- A Unifying Framework for Spatial and Temporal Quantum Correlations
- Projective measurements are sufficient for recycling nonlocality
- Oblivious communication game, self-testing of projective and non-projective measurements and certification of randomness
- Measurement incompatibility and quantum advantage in communication
- A universal scheme for robust self-testing in the prepare-and-measure scenario
- Simple and maximally robust processes with no classical common-cause or direct-cause explanation
- Non-Markovian Toy Quantum Chain
- Characterising the Hierarchy of Multi-time Quantum Processes with Classical Memory
- Non-Markovian memory in IBMQX4
- Sufficient conditions for quantum advantage in random access code protocols with two-qubit states