Semi-device independent certification of multiple unsharpness parameters through sequential measurements

• URL: http://arxiv.org/abs/2112.14559v1
• Date: Wed, 29 Dec 2021 14:07:18 GMT
• Title: Semi-device independent certification of multiple unsharpness parameters through sequential measurements
• Authors: Sumit Mukherjee and A. K. Pan
• Abstract summary: We provide semi-device independent self-testing protocols to certify multiple unsharpness parameters along with the states and the measurement settings. This is achieved through the sequential quantum advantage shared by multiple independent observers in a suitable communication game known as parity-oblivious random-access-code.
• Score: 2.28438857884398
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Based on a sequential communication game, semi-device independent certification of an unsharp instrument has recently been demonstrated [\href{https://iopscience.iop.org/article/10.1088/1367-2630/ab3773}{New J. Phys. 21 083034 (2019), }\href{https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.033014}{ Phys. Rev. Research 2, 033014 (2020)}]. In this paper, we provide semi-device independent self-testing protocols in the prepare-measure scenario to certify multiple unsharpness parameters along with the states and the measurement settings. This is achieved through the sequential quantum advantage shared by multiple independent observers in a suitable communication game known as parity-oblivious random-access-code. We demonstrate that in 3-bit parity-oblivious random-access-code, at most three independent observers can sequentially share quantum advantage. The optimal pair (triple) of quantum advantages enables us to uniquely certify the qubit states, the measurement settings, and the unsharpness parameter(s). The practical implementation of a given protocol involves inevitable losses. In a sub-optimal scenario, we derive a certified interval within which a specific unsharpness parameter has to be confined. We extend our treatment to the 4-bit case and show that at most two observers can share quantum advantage for the qubit system. Further, we provide a sketch to argue that four sequential observers can share the quantum advantage for the two-qubit system, thereby enabling the certification of three unsharpness parameters.

Related papers

• Single-Round Proofs of Quantumness from Knowledge Assumptions [41.94295877935867]
  A proof of quantumness is an efficiently verifiable interactive test that an efficient quantum computer can pass. Existing single-round protocols require large quantum circuits, whereas multi-round ones use smaller circuits but require experimentally challenging mid-circuit measurements. We construct efficient single-round proofs of quantumness based on existing knowledge assumptions.
  arXiv  Detail & Related papers  (2024-05-24T17:33:10Z)
• Certifying almost all quantum states with few single-qubit measurements [0.9558392439655012]
  We show that almost all n-qubit target states can be certified from only O(n2) single-qubit measurements. We show that such verified representations can be used to efficiently predict highly non-local properties.
  arXiv  Detail & Related papers  (2024-04-10T18:21:11Z)
• Semi-device independent nonlocality certification for near-term quantum networks [46.37108901286964]
  Bell tests are the most rigorous method for verifying entanglement in quantum networks. If there is any signaling between the parties, then the violation of Bell inequalities can no longer be used. We propose a semi-device independent protocol that allows us to numerically correct for effects of correlations in experimental probability distributions.
  arXiv  Detail & Related papers  (2023-05-23T14:39:08Z)
• Robust certification of unsharp instruments through sequential quantum advantages in a prepare-measure communication game [1.7205106391379026]
  We propose a specific two-party communication game in the prepare-measure scenario that relies on an encoding-decoding task of specific information. We first demonstrate that quantum theory outperforms the classical preparation non-contextual theory, and the optimal quantum success probability of such a communication game enables the semi-device-independent certification of qubit states and measurements.
  arXiv  Detail & Related papers  (2022-12-29T07:54:45Z)
• Efficient Bipartite Entanglement Detection Scheme with a Quantum Adversarial Solver [89.80359585967642]
  Proposal reformulates the bipartite entanglement detection as a two-player zero-sum game completed by parameterized quantum circuits. We experimentally implement our protocol on a linear optical network and exhibit its effectiveness to accomplish the bipartite entanglement detection for 5-qubit quantum pure states and 2-qubit quantum mixed states.
  arXiv  Detail & Related papers  (2022-03-15T09:46:45Z)
• Interactive Protocols for Classically-Verifiable Quantum Advantage [46.093185827838035]
  "Interactions" between a prover and a verifier can bridge the gap between verifiability and implementation. We demonstrate the first implementation of an interactive quantum advantage protocol, using an ion trap quantum computer.
  arXiv  Detail & Related papers  (2021-12-09T19:00:00Z)
• Sample-efficient device-independent quantum state verification and certification [68.8204255655161]
  Authentication of quantum sources is a crucial task in building reliable and efficient protocols for quantum-information processing. We develop a systematic approach to device-independent verification of quantum states free of IID assumptions in the finite copy regime. We show that device-independent verification can be performed with optimal sample efficiency.
  arXiv  Detail & Related papers  (2021-05-12T17:48:04Z)
• Ability of unbounded pairs of observers to achieve quantum advantage in random access codes with a single pair of qubits [0.0]
  Complications in preparing and preserving quantum correlations stimulate recycling of a single quantum resource. We consider a scenario involving multiple independent pairs of observers acting with unbiased inputs on a single pair of spatially separated qubits sequentially.
  arXiv  Detail & Related papers  (2021-01-04T20:33:04Z)
• On the optimal certification of von Neumann measurements [55.41644538483948]
  certification of quantum measurements can be viewed as the extension of quantum hypotheses testing. We show the connection between the certification of quantum channels or von Neumann measurements and the notion of $q$-numerical range.
  arXiv  Detail & Related papers  (2020-09-14T22:38:23Z)
• Robust self-testing of steerable quantum assemblages and its applications on device-independent quantum certification [0.0]
  Given a Bell inequality, if its maximal quantum violation can be achieved only by a single set of measurements for each party or a single quantum state, up to local unitaries, one refers to such a phenomenon as self-testing. We propose a framework called "robust self-testing of steerable quantum assemblages" Our result is device-independent (DI), i.e., no assumption is made on the shared state and the measurement devices involved.
  arXiv  Detail & Related papers  (2020-02-07T14:50:16Z)
• Experimental characterisation of unsharp qubit observables and sequential measurement incompatibility via quantum random access codes [0.0]
  We report an experimental implementation of unsharp qubit measurements in a sequential communication protocol. The protocol involves three parties; the first party prepares a qubit system, the second party performs operations which return a classical and quantum outcome, and the latter is measured by the third party.
  arXiv  Detail & Related papers  (2020-01-14T13:37:04Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.