Communication Cost in Simulating Unknown Entangled States
- URL: http://arxiv.org/abs/2402.11610v1
- Date: Sun, 18 Feb 2024 15:01:37 GMT
- Title: Communication Cost in Simulating Unknown Entangled States
- Authors: Kelvin Onggadinata, Pawel Kurzynski, Dagomir Kaszlikowski
- Abstract summary: We show how to universally simulate ensemble statistics of projective local measurements on any $n$-qubit state shared among $n$ observers.
Our technique originates from protocols designed to simulate quantum non-locality.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We demonstrate how to universally simulate ensemble statistics of projective
local measurements on any $n$-qubit state shared among $n$ observers with
classical communication and shared randomness. Our technique originates from
protocols designed to simulate quantum non-locality [in Horizons of the Mind,
Springer, Cham (2014)] and classical simulation of quantum circuits [Phys. Rev.
Lett. 115, 070501 (2015)]. The protocol preserves three crucial aspects of the
simulated quantum scenario in contrast to other approaches: no involvement of
additional parties, none of the observers knows the global state of the system,
and local measurement settings remain undisclosed.
Related papers
- Operationally classical simulation of quantum states [41.94295877935867]
A classical state-preparation device cannot generate superpositions and hence its emitted states must commute.
We show that no such simulation exists, thereby certifying quantum coherence.
Our approach is a possible avenue to understand how and to what extent quantum states defy generic models based on classical devices.
arXiv Detail & Related papers (2025-02-03T15:25:03Z) - The Cramér-Rao approach and global quantum estimation of bosonic states [52.47029505708008]
It is unclear whether the Cram'er-Rao approach is applicable for global estimation instead of local estimation.
We find situations where the Cram'er-Rao approach does and does not work for quantum state estimation problems involving a family of bosonic states in a non-IID setting.
arXiv Detail & Related papers (2024-09-18T09:49:18Z) - 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) - Optimal unilocal virtual quantum broadcasting [5.80377843790023]
We introduce protocols that can be approximated using physical operations with minimal cost.
We formalize the simulation cost of a virtual quantum broadcasting protocol into a semidefinite programming problem.
arXiv Detail & Related papers (2023-10-23T17:56:02Z) - Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [46.99825956909532]
Local quantum measurements do not simply disentangle degrees of freedom, but may actually strengthen the entanglement in the system.
This paper explores how a finite density of local measurement modifies a given state's entanglement structure.
arXiv Detail & Related papers (2023-10-04T09:51:00Z) - Simulating Entanglement beyond Quantum Steering [15.808504285017948]
We quantify the resource content of such states in terms of how much shared randomness is needed to simulate their behavior.
We rigorously show that the shared randomness cost is unbounded even for some two-qubit unsteerable states.
arXiv Detail & Related papers (2023-02-17T18:52:33Z) - Detection of Beyond-Quantum Non-locality based on Standard Local Quantum
Observables [46.03321798937856]
We show that device independent detection cannot distinguish beyond-quantum non-local states from standard quantum states.
This paper gives a device dependent detection based on local observables to distinguish any beyond-quantum non-local state from all standard quantum states.
arXiv Detail & Related papers (2023-01-10T20:19:34Z) - Mimicking states with limited resources: passing quantum quiz via global
control [0.0]
We propose, analyze, and optimize a protocol which allows fast simulation of properties of unknown quantum states.
Our protocol, having common features with quantum identification and shortcuts to adiabaticity, permits avoiding adiabaticity catastrophe.
arXiv Detail & Related papers (2022-08-17T23:18:02Z) - Classical Cost of Transmitting a Qubit [0.0]
We show that the statistics obtained in any quantum protocol can be simulated by the purely classical means of shared randomness and two bits of communication.
In particular, two bits of communication are enough to simulate all quantum correlations associated to arbitrary local POVMs applied to any entangled two-qubit state.
arXiv Detail & Related papers (2022-07-05T18:06:45Z) - Probing finite-temperature observables in quantum simulators of spin
systems with short-time dynamics [62.997667081978825]
We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality.
We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
arXiv Detail & Related papers (2022-06-03T18:00:02Z) - Simulations of quantum nonlocality with local negative bits [0.0]
We propose a simple simulation of nonlocal quantum correlations among $N$ qubits using a local hidden variable source with a positive probability distribution.
Unlike the Toner-Bacon protocol, no exchange of classical bits between the observers is required.
Our simulation can be extended to include Popescu-Rohrlich box correlations.
arXiv Detail & Related papers (2021-06-15T08:01:01Z) - State preparation and measurement in a quantum simulation of the O(3)
sigma model [65.01359242860215]
We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site.
We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes.
We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
arXiv Detail & Related papers (2020-06-28T23:44:12Z)
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.