Spacetime Path Integrals for Entangled States
- URL: http://arxiv.org/abs/2103.02425v2
- Date: Tue, 4 May 2021 20:12:16 GMT
- Title: Spacetime Path Integrals for Entangled States
- Authors: Narayani Tyagi and Ken Wharton
- Abstract summary: This paper shows how to implement path-based calculations for multi-qubit entangled states.
It should allow for a substantial amount of conventional quantum analysis to be translated over into a path-integral perspective.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Although the path-integral formalism is known to be equivalent to
conventional quantum mechanics, it is not generally obvious how to implement
path-based calculations for multi-qubit entangled states. Whether one takes the
formal view of entangled states as entities in a high-dimensional Hilbert
space, or the intuitive view of these states as a connection between distant
spatial configurations, it may not even be obvious that a path-based
calculation can be achieved using only paths in ordinary space and time.
Previous work has shown how to do this for certain special states; this paper
extends those results to all pure two-qubit states, where each qubit can be
measured in an arbitrary basis. Certain three-qubit states are also developed,
and path integrals again reproduce the usual correlations. These results should
allow for a substantial amount of conventional quantum analysis to be
translated over into a path-integral perspective, simplifying certain
calculations, and more generally informing research in quantum foundations.
Related papers
- Quantum-to-Classical Transition via Single-Shot Generalized Measurements [5.3226107945415135]
We bridge discrete generalized coherent state positive-operator-valued measurements and continuous isotropic depolarizing channels.<n>Our unified treatment reveals how dimensionality and decoherence rate collectively govern the quantum-to-classical transition.<n>We propose quantum circuit implementations achievable with current state-of-the-art quantum technologies.
arXiv Detail & Related papers (2025-07-17T14:38:30Z) - Classification of joint quantum measurements based on entanglement cost of localization [42.72938925647165]
We propose a systematic classification of joint measurements based on entanglement cost.
We show how to numerically explore higher levels and construct generalizations to higher dimensions and multipartite settings.
arXiv Detail & Related papers (2024-08-01T18:00:01Z) - An Effective Way to Determine the Separability of Quantum State [0.0]
We propose a practical approach to address the longstanding and challenging problem of quantum separability.<n>General separability conditions are obtained by dint of constructing the measurement-induced Bloch space.<n>It is found that criteria obtained in our approach can be directly transformed into entanglement witness operators.
arXiv Detail & Related papers (2024-03-12T06:17:19Z) - 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) - Shadow tomography from emergent state designs in analog quantum
simulators [0.0]
We introduce a method that allows one to infer many properties of a quantum state using only global control.
We show that when the unitary is sufficiently entangling, a universal relationship between the statistics of the measurement outcomes and properties of the state emerges.
arXiv Detail & Related papers (2022-12-05T19:04:21Z) - Bethe-Salpeter Bound-State Solutions: Examining Semirelativistic
Approaches [0.0]
A framework for the description of two-particle bound states is provided by the Poincar'e-covariant homogeneous Bethe-Salpeter equation.
A coarse idea of the bound-state spectrum to be expected might be gained by adhering to some simplifying approximations.
The reliability of the insights inferred from the arising simpler bound-state equation may be straightforwardly examined.
arXiv Detail & Related papers (2022-10-14T11:37:21Z) - Exploring postselection-induced quantum phenomena with
time-bidirectional state formalism [0.8702432681310401]
A quantum particle's state, called a time-bidirectional state, is equivalent to a joined state of two particles propagating in opposite time directions.
We show how the obtained expressions reduce to known ones in the special cases of no postselection and generalized two-state (density) vectors.
We employ the developed techniques for tracking of a qubit's time-reversal journey in a quantum teleportation protocol realized with a cloud-accessible noisy superconducting quantum processor.
arXiv Detail & Related papers (2022-10-03T12:12:15Z) - Measurement and Probability in Relativistic Quantum Mechanics [0.0]
This paper provides a relativistic model of measurement, in which the state of the universe is decomposed into decoherent histories of measurements recorded within it.
The wave functions that we actually use for such experiments are local reductions of very coarse-grained superpositions of universal eigenstates.
arXiv Detail & Related papers (2022-09-26T04:21:52Z) - Experimental demonstration of optimal unambiguous two-out-of-four
quantum state elimination [52.77024349608834]
A core principle of quantum theory is that non-orthogonal quantum states cannot be perfectly distinguished with single-shot measurements.
Here we implement a quantum state elimination measurement which unambiguously rules out two of four pure, non-orthogonal quantum states.
arXiv Detail & Related papers (2022-06-30T18:00:01Z) - Entanglement and Quantum Correlation Measures from a Minimum Distance
Principle [0.0]
Entanglement, and quantum correlation, are precious resources for quantum technologies implementation based on quantum information science.
We derive an explicit measure able to quantify the degree of quantum correlation for pure or mixed multipartite states.
We prove that our entanglement measure is textitfaithful in the sense that it vanishes only on the set of separable states.
arXiv Detail & Related papers (2022-05-14T22:18:48Z) - 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) - Determining ground-state phase diagrams on quantum computers via a
generalized application of adiabatic state preparation [61.49303789929307]
We use a local adiabatic ramp for state preparation to allow us to directly compute ground-state phase diagrams on a quantum computer via time evolution.
We are able to calculate an accurate phase diagram on both two and three site systems using IBM quantum machines.
arXiv Detail & Related papers (2021-12-08T23:59:33Z) - Stochastic approximate state conversion for entanglement and general quantum resource theories [41.94295877935867]
An important problem in any quantum resource theory is to determine how quantum states can be converted into each other.
Very few results have been presented on the intermediate regime between probabilistic and approximate transformations.
We show that these bounds imply an upper bound on the rates for various classes of states under probabilistic transformations.
We also show that the deterministic version of the single copy bounds can be applied for drawing limitations on the manipulation of quantum channels.
arXiv Detail & Related papers (2021-11-24T17:29:43Z) - Entanglement dynamics of spins using a few complex trajectories [77.34726150561087]
We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics.
We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
arXiv Detail & Related papers (2021-08-13T01:44:24Z) - Bose-Einstein condensate soliton qubit states for metrological
applications [58.720142291102135]
We propose novel quantum metrology applications with two soliton qubit states.
Phase space analysis, in terms of population imbalance - phase difference variables, is also performed to demonstrate macroscopic quantum self-trapping regimes.
arXiv Detail & Related papers (2020-11-26T09:05:06Z)
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.