Quantum Correlations in One Parameter Mixed Quantum States
- URL: http://arxiv.org/abs/2412.03591v1
- Date: Thu, 28 Nov 2024 04:56:55 GMT
- Title: Quantum Correlations in One Parameter Mixed Quantum States
- Authors: Kapil K. Sharma, Rishikant Rajdeepak, Fatih Ozaydin,
- Abstract summary: We investigate the comparative dynamics of mixed states $(rhol,rhon,rhom)$ under the bipartite Ising Hamiltonian exposed by the external magnetic field.
- Score: 0.0
- License:
- Abstract: Munero et. al. developed one parameter family of mixed states $\rho^{l}$, which are more entangled than bipartite Werner state. The similar family of mixed states $\rho^{n}$ are developed by L. Derkacz et. al. with differed approach. Further the author extend $\rho^{n}$ to two parameter family of quantum states $\rho^{m}$ and characterized these states in terms of Bell inequality violation against their mixedness. In the present article, we investigate the comparative dynamics of all mixed states $(\rho^{l},\rho^{n},\rho^{m})$ under the bipartite Ising Hamiltonian exposed by the external magnetic field and investigate the dynamics of quantum correlations against the mixedness quantified by linear entropy
Related papers
- Complexity enriched dynamical phases for fermions on graphs [17.70942538295701]
We investigate entanglement and Krylov complexity for fermions on regular graphs.
Our investigations unveil that while entanglement follows volume laws on both types of regular graphs with degree $d = 2$ and $d = 3$, the Krylov complexity exhibits distinctive behaviors.
For interacting fermions, our theoretical analyses find the dimension scales as $Dsim 4Nalpha$ for regular graphs of $d = 2$ with $0.38leqalphaleq0.59$, whereas it scales as $Dsim 4N$ for $d = 3$.
arXiv Detail & Related papers (2024-04-11T18:00:20Z) - Mixed-state quantum anomaly and multipartite entanglement [8.070164241593814]
We show a surprising connection between mixed state entanglement and 't Hooft anomaly.
We generate simple examples of mixed states with nontrivial long-ranged multipartite entanglement.
We also analyze mixed anomaly involving both strong and weak symmetries.
arXiv Detail & Related papers (2024-01-30T19:00:02Z) - Bipartite representations and many-body entanglement of pure states of $N$ indistinguishable particles [0.0]
We analyze a general bipartite-like representation of arbitrary pure states of $N$ indistinguishable particles, valid for both bosons and fermions.
It leads to exact $(M,N-M)$ Schmidt-like expansions of the state for any $MN$ and is directly related to the isospectral reduced $rho(M)$ and $rho(N-M)$.
arXiv Detail & Related papers (2024-01-12T22:22:44Z) - Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising
model [44.84660857803376]
We study level pairings in the many-body spectrum of the random-field Floquet quantum Ising model.
The robustness of $pi$ pairings against longitudinal disorder may be useful for quantum information processing.
arXiv Detail & Related papers (2024-01-09T20:37:48Z) - Schrieffer-Wolff transformation for non-Hermitian systems: application
for $\mathcal{PT}$-symmetric circuit QED [0.0]
We develop the generalized Schrieffer-Wolff transformation and derive the effective Hamiltonian suitable for various quasi-degenerate textitnon-Hermitian systems.
We show that non-hermiticity mixes the "dark" and the "bright" states, which has a direct experimental consequence.
arXiv Detail & Related papers (2023-09-18T14:50:29Z) - Observing super-quantum correlations across the exceptional point in a
single, two-level trapped ion [48.7576911714538]
In two-level quantum systems - qubits - unitary dynamics theoretically limit these quantum correlations to $2qrt2$ or 1.5 respectively.
Here, using a dissipative, trapped $40$Ca$+$ ion governed by a two-level, non-Hermitian Hamiltonian, we observe correlation values up to 1.703(4) for the Leggett-Garg parameter $K_3$.
These excesses occur across the exceptional point of the parity-time symmetric Hamiltonian responsible for the qubit's non-unitary, coherent dynamics.
arXiv Detail & Related papers (2023-04-24T19:44:41Z) - Quantum phase transitions in non-Hermitian
$\mathcal{P}\mathcal{T}$-symmetric transverse-field Ising spin chains [0.0]
We present a theoretical study of quantum phases and quantum phase transitions occurring in non-Hermitian $mathcalPmathcalT$-symmetric superconducting qubits chains.
A non-Hermitian part of the Hamiltonian is implemented via imaginary staggered textitlongitudinal magnetic field.
We obtain two quantum phases for $J0$, namely, $mathcalPmathcalT$-symmetry broken antiferromagnetic state and $mathcalPmathcalT$-symmetry preserved paramagnetic state
arXiv Detail & Related papers (2022-11-01T18:10:12Z) - Stochastic behavior of outcome of Schur-Weyl duality measurement [45.41082277680607]
We focus on the measurement defined by the decomposition based on Schur-Weyl duality on $n$ qubits.
We derive various types of distribution including a kind of central limit when $n$ goes to infinity.
arXiv Detail & Related papers (2021-04-26T15:03:08Z) - Symmetric distinguishability as a quantum resource [21.071072991369824]
We develop a resource theory of symmetric distinguishability, the fundamental objects of which are elementary quantum information sources.
We study the resource theory for two different classes of free operations: $(i)$ $rmCPTP_A$, which consists of quantum channels acting only on $A$, and $(ii)$ conditional doubly (CDS) maps acting on $XA$.
arXiv Detail & Related papers (2021-02-24T19:05:02Z) - Quantum Correlations in Neutrino Oscillation: Coherence and Entanglement [0.0]
The origin of the flavor entanglement in neutrino oscillation is the same as that of quantum coherence.
The amount of coherence increases by $sigma_x$ due to the increase in the overlapping of the mass eigenstates.
arXiv Detail & Related papers (2020-11-25T20:34:33Z) - A map between time-dependent and time-independent quantum many-body
Hamiltonians [23.87373187143897]
Given a time-independent Hamiltonian $widetilde H$, one can construct a time-dependent Hamiltonian $H_t$ by means of the gauge transformation $H_t=U_t widetilde H, Udagger_t-i, U_t, partial_t U_tdagger$.
Here $U_t$ is the unitary transformation that relates the solutions of the corresponding Schrodinger equations.
arXiv Detail & Related papers (2020-09-29T08:54:21Z)
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.