Manifestation of Rank-Tuned Weak Measurements Towards Featured State Generation

• URL: http://arxiv.org/abs/2208.09317v1
• Date: Fri, 19 Aug 2022 13:02:24 GMT
• Title: Manifestation of Rank-Tuned Weak Measurements Towards Featured State Generation
• Authors: Pritam Halder, Ratul Banerjee, Shiladitya Mal, Aditi Sen De
• Abstract summary: We show that rank-$2$ measurements can create only Greenberger Horne Zeilinger (GHZ)-class states while only W-class states are produced with rank-$4$ measurements. In the case of multipartite states with an arbitrary number of qubits, we report that the average content of genuine multipartite entanglement increases with the decrease of the rank in the measurement operators.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose that an unsharp measurement-based process to generate genuine multipartite entanglement from an entangled initial state with a fewer number of qubits can be classified in two ways -- biased and unbiased inflation protocols. In the biased case, genuine multipartite entanglement (GME) of the resulting state obtained after a single measurement outcome is optimized, thereby creating a possibility of states with high GME while in the unbiased case, average GME is optimized over all possible outcomes. Interestingly, we show that the set of two-qubit unsharp measurements can generate multipartite states having different features according to GME measure, generalized geometric measure, the monogamy-based entanglement measure, tangle and robustness against particle loss quantified via persistency depending on the rank of the unsharp measurement operators. Specifically, in the process of producing three-qubit pure states, we prove that rank-$2$ measurements can create only Greenberger Horne Zeilinger (GHZ)-class states while only W-class states are produced with rank-$4$ measurements although rank-$3$ measurements are capable to generate both. In the case of multipartite states with an arbitrary number of qubits, we report that the average content of genuine multipartite entanglement increases with the decrease of the rank in the measurement operators although the persistency decreases with the rank, both in the biased as well as unbiased protocols.

Related papers

• Localizing multipartite entanglement with local and global measurements [5.434628844260994]
  We study the task of localizing multipartite entanglement in pure quantum states onto a subsystem by measuring the remaining systems. We choose the $n$-tangle, the genuine multipartite entanglement concurrence and the concentratable entanglement (CE) as the underlying seed measure. We show that our entanglement localization framework certifies the near-optimality of recently discussed local-measurement protocols.
  arXiv  Detail & Related papers  (2024-11-06T17:58:35Z)
• Almost device-independent certification of GME states with minimal measurements [41.94295877935867]
  Device-independent certification of quantum states allows the characterization of quantum states present inside a device. A major problem in this regard is to certify quantum states using minimal resources. We consider the multipartite quantum steering scenario with an arbitrary number of parties but only one of which is trusted in the sense that the measurements performed by the trusted party are known.
  arXiv  Detail & Related papers  (2024-02-28T17:54:55Z)
• Measurement-Device-Independent Detection of Beyond-Quantum State [53.64687146666141]
  We propose a measurement-device-independent (MDI) test for beyond-quantum state detection. We discuss the importance of tomographic completeness of the input sets to the detection.
  arXiv  Detail & Related papers  (2023-12-11T06:40:13Z)
• Duality between imperfect resources and measurements for propagating entanglement in networks [0.276240219662896]
  We propose a measurement-based entanglement propagation strategy for networks. In the presence of a local amplitude damping channel acting on a single site, entanglement shareability, as measured by the monogamy score, can be higher. We report that the effect of noise on the average monogamy score entered from the resource state may be reduced faster with the unidirectional protocol.
  arXiv  Detail & Related papers  (2023-08-21T18:44:49Z)
• A Hierarchy of Multipartite Nonlocality and Device-Independent Effect Witnesses [0.0]
  A multi-party behavior is genuinely multipartite nonlocal if it cannot be modeled by measurements on an underlying network of bipartite-only nonlocal resources. Here, we study the full hierarchy of these new candidate definitions of GMNL in three-party quantum networks. Surprisingly, we find that this behavior, as well as the others previously studied as device-independent witnesses of entangled measurements, can all be simulated at a higher echelon of the GMNL hierarchy.
  arXiv  Detail & Related papers  (2023-01-28T03:51:28Z)
• 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)
• Entanglement purification by counting and locating errors with entangling measurements [62.997667081978825]
  We consider entanglement purification protocols for multiple copies of qubit states. We use high-dimensional auxiliary entangled systems to learn about number and positions of errors in the noisy ensemble.
  arXiv  Detail & Related papers  (2020-11-13T19:02:33Z)
• Generalized Sliced Distances for Probability Distributions [47.543990188697734]
  We introduce a broad family of probability metrics, coined as Generalized Sliced Probability Metrics (GSPMs) GSPMs are rooted in the generalized Radon transform and come with a unique geometric interpretation. We consider GSPM-based gradient flows for generative modeling applications and show that under mild assumptions, the gradient flow converges to the global optimum.
  arXiv  Detail & Related papers  (2020-02-28T04:18:00Z)
• Quantum State Discrimination via Repeated Measurements and the Rule of Three [0.0]
  We consider minimum error state discrimination for mutually orthogonal states with a noisy measurement. We identify a 'rule of three', where no change in probability is obtained from a second measurement but there is noticeable improvement after a third. We also provide partial results for $N$-valued commutative measurements where the rule of three remains, but the general pattern present in binary measurements is no longer satisfied.
  arXiv  Detail & Related papers  (2020-01-28T19:09:55Z)
• Distributed, partially collapsed MCMC for Bayesian Nonparametrics [68.5279360794418]
  We exploit the fact that completely random measures, which commonly used models like the Dirichlet process and the beta-Bernoulli process can be expressed as, are decomposable into independent sub-measures. We use this decomposition to partition the latent measure into a finite measure containing only instantiated components, and an infinite measure containing all other components. The resulting hybrid algorithm can be applied to allow scalable inference without sacrificing convergence guarantees.
  arXiv  Detail & Related papers  (2020-01-15T23:10:13Z)

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.