Restoring of quantum state transferred along XY-spin chain and entanglement evolution
- URL: http://arxiv.org/abs/2504.15832v1
- Date: Tue, 22 Apr 2025 12:25:01 GMT
- Title: Restoring of quantum state transferred along XY-spin chain and entanglement evolution
- Authors: N. A. Tashkeev, A. I. Zenchuk,
- Abstract summary: We propose a protocol restoring the state transferred along the spin chain governed by the XY-Hamiltonian.<n>Restoring is established via the special unitary transformation applied to the receiver side of the chain.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We propose a protocol restoring the state transferred along the spin chain governed by the XY-Hamiltonian. Such dynamics does not preserve the excitation number and leads to mixing multiple-quantum coherence matrices of orders having the same parities. Depending on the initial state, this results in generating ether all possible or only even-order multiple-quantum coherence matrices. Restoring is established via the special unitary transformation applied to the receiver side of the chain (extended receiver). An example of restoring $\pm1$ and $\pm 2$-order coherence matrices in two-qubit state transfer is considered. Entanglement transfer in such process is also studied and possibility of its amplification is demonstrated.
Related papers
- Some Aspects of Remote State Restoring in State Transfer Governed by XXZ-Hamiltonian [70.4277761365444]
We consider a spin system governed by the XXZ-armorian excitation number.
Restoring in spin chains with up to 20 nodes is studied.
We demonstrate the exponential increase of the state-transfer time with the spin chain length.
arXiv Detail & Related papers (2024-07-23T13:18:47Z) - Exact Correlation Functions for Dual-Unitary Quantum circuits with exceptional points [0.0]
We give an inverse approach for constructing dual-unitary quantum circuits with exceptional points.<n>As a consequence of eigenvectors, correlation functions exhibit a modified exponential decay.<n>We show that behaviors of correlation functions are distinct by Latemporalplace transformation.
arXiv Detail & Related papers (2024-06-12T15:44:29Z) - Measurement-Induced Transmon Ionization [69.65384453064829]
We develop a comprehensive framework which provides a physical picture of the origin of transmon ionization.
This framework identifies the multiphoton resonances responsible for transmon ionization.
It also allows one to efficiently compute numerical estimates of the photon number threshold for ionization.
arXiv Detail & Related papers (2024-02-09T18:46:50Z) - On reconstruction of states from evolution induced by quantum dynamical
semigroups perturbed by covariant measures [50.24983453990065]
We show the ability to restore states of quantum systems from evolution induced by quantum dynamical semigroups perturbed by covariant measures.
Our procedure describes reconstruction of quantum states transmitted via quantum channels and as a particular example can be applied to reconstruction of photonic states transmitted via optical fibers.
arXiv Detail & Related papers (2023-12-02T09:56:00Z) - Exact solution of a family of staggered Heisenberg chains with
conclusive pretty good quantum state transfer [68.8204255655161]
We work out the exact solutions in the one-excitation subspace.
We present numerical evidence that pretty good transmission is achieved by chains whose length is not a power of two.
arXiv Detail & Related papers (2022-06-28T18:31:09Z) - Transfer of 0-order coherence matrix along spin-1/2 chain [0.0]
We study transfer of coherence matrices along spin-1/2 chains of various length.
In certain cases, to provide the perfect transfer, an extended receiver together with its unitary transformation has to be included into the protocol.
arXiv Detail & Related papers (2022-01-04T21:47:44Z) - Arbitrary entangled state transfer via a topological qubit chain [5.581919120140629]
We show that an arbitrary entangled state can be encoded in the corresponding edge states, and then adiabatically transferred from one end to the other of the chain.
Our approach is robust against both the qubit-qubit coupling disorder and the evolution time disorder.
For the concreteness of discussions, we assume that such a chain is constructed by an experimentally feasible superconducting qubit system.
arXiv Detail & Related papers (2021-11-10T07:57:27Z) - Complete structural restoring of transferred multi-qubit quantum state [0.0]
We develop the protocol for structural restoring of multi-quantum coherence matrices of the multi-qubit quantum state transferred from the sender to the receiver along a spin-1/2 chain.
We also propose a protocol for constructing such 0-order coherence matrix that can be perfectly transferred in this process.
arXiv Detail & Related papers (2021-04-28T13:52:22Z) - Pretty good quantum state transfer on isotropic and anisotropic
Heisenberg spin chains with tailored site dependent exchange couplings [68.8204255655161]
We consider chains with isotropic and anisotropic Heisenberg Hamiltonian with up to 100 spins.
We consider short transferred times, in particular shorter than those achievable with known time-dependent control schemes.
arXiv Detail & Related papers (2021-01-08T19:32:10Z) - Unidirectional Quantum Transport in Optically Driven $V$-type Quantum
Dot Chains [58.720142291102135]
We predict a mechanism for achieving complete population inversion in a continuously driven InAs/GaAs semiconductor quantum dot.
This highly nonequilibrium steady state is enabled by the interplay between $V$-type interband transitions and a non-Markovian decoherence mechanism.
arXiv Detail & Related papers (2020-09-25T08:30:41Z) - Dynamic crystallization in a quantum Ising chain [0.0]
We study the dynamic processes of crystallization and dissolution for the gapped ground states in an Ising chain.
We show that the ground state and the first-excited state of an $ left( N+1right) $-site chain can be generated from that of the $N$-site one by adding a spin adiabatically.
Numerical simulation shows that the robust quasidegenerate ground states of finite-size chain can be prepared with high fidelity from a set of noninteracting spins.
arXiv Detail & Related papers (2020-04-20T02:03:07Z)
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.