Distillation of genuine tripartite Einstein-Podolsky-Rosen steering
- URL: http://arxiv.org/abs/2010.09223v2
- Date: Wed, 11 Aug 2021 16:52:46 GMT
- Title: Distillation of genuine tripartite Einstein-Podolsky-Rosen steering
- Authors: Shashank Gupta, Debarshi Das and A. S. Majumdar
- Abstract summary: We show that a perfectly genuine tripartite EPR steerable assemblage can be distilled from partially genuine assemblages.
We show that at least one copy of a perfectly genuine steerable assemblage can be distilled with certainty from infinitely many copies of initial assemblages.
- Score: 0.9003129159179886
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We show that a perfectly genuine tripartite EPR steerable assemblage can be
distilled from partially genuine tripartite EPR steerable assemblages. In
particular, we consider two types of hybrid scenarios: one-sided
device-independent (1SDI) scenario (where one observer is untrusted, and other
two observers are trusted) and two-sided device-independent (2SDI) scenario
(where two observers are untrusted, and one observer is trusted). In both the
scenarios, we show distillation of perfectly genuine steerable assemblage of
three-qubit Greenberger-Horne-Zeilinger (GHZ) states or three-qubit W states
from many copies of initial partially genuine steerable assemblages of the
corresponding states. In each of these cases, we demonstrate that at least one
copy of a perfectly genuine steerable assemblage can be distilled with
certainty from infinitely many copies of initial assemblages. In case of
practical scenarios employing finite copies, we show that the efficiency of our
distillation protocols reaches near perfect levels using only a few number of
initial assemblages.
Related papers
- Experimental distillation of tripartite quantum steering with an optimal local filtering operation [1.7842332554022695]
Multipartite Einstein-Podolsky-Rosen(EPR) steering admits multipartite entanglement in the presence of uncharacterized verifiers.
We propose a local filtering operation that can distill genuine tripartite EPR steering from copies of three-qubit generalized Greenberger-Horne-Zeilinger states.
arXiv Detail & Related papers (2023-11-16T13:03:27Z) - Dissipative preparation and stabilization of many-body quantum states in
a superconducting qutrit array [55.41644538483948]
We present and analyze a protocol for driven-dissipatively preparing and stabilizing a manifold of quantum manybody entangled states.
We perform theoretical modeling of this platform via pulse-level simulations based on physical features of real devices.
Our work shows the capacity of driven-dissipative superconducting cQED systems to host robust and self-corrected quantum manybody states.
arXiv Detail & Related papers (2023-03-21T18:02:47Z) - Resource theoretic efficacy of the single copy of a two-qubit entangled
state in a sequential network [0.0]
We demonstrate the resource theoretic advantage of reusing a single copy of a two-qubit entangled state towards information processing.
We consider a scenario of sequential entanglement detection of a given two-qubit state by multiple independent observers on each of the two spatially separated wings.
arXiv Detail & Related papers (2021-09-23T15:18:08Z) - Machine-Learning-Derived Entanglement Witnesses [55.76279816849472]
We show a correspondence between linear support vector machines (SVMs) and entanglement witnesses.
We use this correspondence to generate entanglement witnesses for bipartite and tripartite qubit (and qudit) target entangled states.
arXiv Detail & Related papers (2021-07-05T22:28:02Z) - 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) - Demonstrating shareability of multipartite Einstein-Podolsky-Rosen
steering [12.387712831635127]
Einstein-Podolsky-Rosen (EPR) steering is a category of quantum nonlocal correlations describing the ability of one observer to influence another party's state via local measurements.
Here, we provide a proof-of-principle demonstration of the shareability of EPR steering without the constraint of monogamy in a three-qubit system.
This work has potential applications in many quantum information protocols, such as multipartite entanglement detection, quantum cryptography, and the construction of quantum networks.
arXiv Detail & Related papers (2021-04-25T07:31:53Z) - Convicting emergent multipartite entanglement with evidence from a
partially blind witness [0.0]
Genuine multipartite entanglement underlies correlation experiments corroborating quantum mechanics.
We show that the effect can be found in the context of Gaussian states of bosonic systems.
Our results pave the way to effective diagnostics methods of global properties of multipartite states without complete tomography.
arXiv Detail & Related papers (2021-03-12T14:52:47Z) - 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) - Genuine Einstein-Podolsky-Rosen steering of three-qubit states by
multiple sequential observers [0.683495465775299]
We investigate the possibility of multiple use of a single copy of three-qubit states for genuine Einstein-Podolsky-Rosen steering.
A pure three-qubit state of either the Greenberger-Horne-Zeilinger (GHZ)-type or W-type is shared between two fixed observers in two wings.
We show that the GHZ state allows for a higher number of observers compared to that for W state.
arXiv Detail & Related papers (2020-07-07T15:28:11Z) - Finite Block Length Analysis on Quantum Coherence Distillation and
Incoherent Randomness Extraction [64.04327674866464]
We introduce a variant of randomness extraction framework where free incoherent operations are allowed before the incoherent measurement.
We show that the maximum number of random bits extractable from a given quantum state is precisely equal to the maximum number of coherent bits that can be distilled from the same state.
Remarkably, the incoherent operation classes all admit the same second order expansions.
arXiv Detail & Related papers (2020-02-27T09:48:52Z) - Genuine Network Multipartite Entanglement [62.997667081978825]
We argue that a source capable of distributing bipartite entanglement can, by itself, generate genuine $k$-partite entangled states for any $k$.
We provide analytic and numerical witnesses of genuine network entanglement, and we reinterpret many past quantum experiments as demonstrations of this feature.
arXiv Detail & Related papers (2020-02-07T13:26:00Z)
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.