Quasiprobability distributions with weak measurements
- URL: http://arxiv.org/abs/2406.06713v1
- Date: Mon, 10 Jun 2024 18:22:53 GMT
- Title: Quasiprobability distributions with weak measurements
- Authors: Gabriele Bizzarri, Stefano Gherardini, Mylenne Manrique, Fabio Bruni, Ilaria Gianani, Marco Barbieri,
- Abstract summary: We show how quantum coherence governs the quasiprobability statistics of outcome pairs.
Results find application to quantum monitoring aimed at implementing or stabilising task.
- Score: 0.20616237122336117
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We show how quantum coherence governs the quasiprobability statistics of outcome pairs, consecutively recorded at two distinct times, using weak measurements. In doing this, we have realised weak-sequential measurement with photonic qubits, where the first measurement is carried out by a positive operator-valued measure, whereas the second one is a projective operation. We determine the quasiprobability distributions associated to this procedure, based on both the commensurate and the Margenau-Hill approach, by establishing a link between these descriptions. Our results find application to quantum monitoring aimed at implementing or stabilising task without completely loosing the initial quantum coherence.
Related papers
- Geometry of sequential quantum correlations and robust randomness
certification [0.0]
We study the geometry of quantum correlations and their implications for robust device-independent randomness generation.
We identify a boundary for the set of these correlations expressed as a trade-off between the amount of nonlocality between different observers.
We propose a practical protocol based on non-projective measurements that can produce the boundary correlations under ideal conditions.
arXiv Detail & Related papers (2023-09-21T17:50:29Z) - Collective randomized measurements in quantum information processing [0.0]
We introduce $textitcollective$ randomized measurements as a tool in quantum information processing.
We propose systematic approaches to characterize quantum entanglement in a collective-reference-frame-independent manner.
arXiv Detail & Related papers (2023-09-19T16:43:53Z) - Quantifying measurement-induced quantum-to-classical crossover using an
open-system entanglement measure [49.1574468325115]
We study the entanglement of a single particle under continuous measurements.
We find that the entanglement at intermediate time scales shows the same qualitative behavior as a function of the measurement strength.
arXiv Detail & Related papers (2023-04-06T09:45:11Z) - Measurement-altered Ising quantum criticality [6.436344983789632]
We show that measurements can alter long-distance correlations in a manner dependent on the choice of entangling gate, ancilla measurement basis, measurement outcome, and nature of ancilla correlations.
We also identify two strategies for detecting measurement-altered Ising criticality in measurement-averaged quantities.
arXiv Detail & Related papers (2023-02-08T20:40:26Z) - Entanglement swapping and quantum correlations via Elegant Joint
Measurements [5.252277280918264]
We use hyper-entanglement to experimentally realize deterministic entanglement swapping based on quantum Elegant Joint Measurements.
We report measurement fidelities no smaller than $97.4%$.
arXiv Detail & Related papers (2022-03-30T11:09:20Z) - Improved Quantum Algorithms for Fidelity Estimation [77.34726150561087]
We develop new and efficient quantum algorithms for fidelity estimation with provable performance guarantees.
Our algorithms use advanced quantum linear algebra techniques, such as the quantum singular value transformation.
We prove that fidelity estimation to any non-trivial constant additive accuracy is hard in general.
arXiv Detail & Related papers (2022-03-30T02:02:16Z) - Experimentally determining the incompatibility of two qubit measurements [55.41644538483948]
We describe and realize an experimental procedure for assessing the incompatibility of two qubit measurements.
We demonstrate this fact in an optical setup, where the qubit states are encoded into the photons' polarization degrees of freedom.
arXiv Detail & Related papers (2021-12-15T19:01:44Z) - Optimal Adaptive Strategies for Sequential Quantum Hypothesis Testing [87.17253904965372]
We consider sequential hypothesis testing between two quantum states using adaptive and non-adaptive strategies.
We show that these errors decrease exponentially with decay rates given by the measured relative entropies between the two states.
arXiv Detail & Related papers (2021-04-30T00:52:48Z) - 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) - Direct estimation of quantum coherence by collective measurements [54.97898890263183]
We introduce a collective measurement scheme for estimating the amount of coherence in quantum states.
Our scheme outperforms other estimation methods based on tomography or adaptive measurements.
We show that our method is accessible with today's technology by implementing it experimentally with photons.
arXiv Detail & Related papers (2020-01-06T03:50:42Z)
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.