Read out the fermion parity of a potential artificial Kitaev chain utilizing a transmon qubit
- URL: http://arxiv.org/abs/2501.13367v1
- Date: Thu, 23 Jan 2025 04:14:55 GMT
- Title: Read out the fermion parity of a potential artificial Kitaev chain utilizing a transmon qubit
- Authors: Enna Zhuo, Xiaozhou Yang, Yuyang Huang, Zhaozheng Lyu, Ang Li, Bing Li, Yunxiao Zhang, Xiang Wang, Duolin Wang, Yukun Shi, Anqi Wang, E. P. A. M. Bakkers, Xiaodong Han, Xiaohui Song, Peiling Li, Bingbing Tong, Ziwei Dou, Guangtong Liu, Fanming Qu, Jie Shen, Li Lu,
- Abstract summary: We demonstrate the feasibility of using a superconducting transmon qubit, which incorporates an end of a four-site quantum dot-superconductor chain based on a Ge/Si nanowire.
We show that the inter-dot coupling, hence the strengths of cross Andreev reflection and elastic cotunneling of electrons, can be adjusted by local electrostatic gating in chains fabricated on Ge/Si core-shell nanowires.
- Score: 17.62661527215912
- License:
- Abstract: Artificial Kitaev chains have emerged as a promising platform for realizing topological quantum computing. Once the chains are formed and the Majorana zero modes are braided/fused, reading out the parity of the chains is essential for further verifying the non-Abelian property of the Majorana zero modes. Here we demonstrate the feasibility of using a superconducting transmon qubit, which incorporates an end of a four-site quantum dot-superconductor chain based on a Ge/Si nanowire, to directly detect the singlet/doublet state, and thus the parity of the entire chain. We also demonstrate that for multiple-dot chains there are two types of 0-{\pi} transitions between different charging states: the parity-flip 0-{\pi} transition and the parity-preserved 0-{\pi} transition. Furthermore, we show that the inter-dot coupling, hence the strengths of cross Andreev reflection and elastic cotunneling of electrons, can be adjusted by local electrostatic gating in chains fabricated on Ge/Si core-shell nanowires. Our exploration would be helpful for the ultimate realization of topological quantum computing based on artificial Kitaev chains.
Related papers
- Perfect, Pretty Good and Optimized Quantum State Transfer in Transmon qubit chains [44.99833362998488]
We study how changing the interaction strength between the chain qubits allows us to obtain perfect or pretty good state transfer.
For particular values of the interactions between the qubits, transmon chains are equivalent to generalized SSH chains.
We show that, in many cases, asking for fast transfer times results in chains with dimerized interactions that do not have topological states.
arXiv Detail & Related papers (2025-01-17T22:16:41Z) - Efficient Eigenstate Preparation in an Integrable Model with Hilbert Space Fragmentation [42.408991654684876]
We consider the preparation of all the eigenstates of spin chains using quantum circuits.
We showivities of the growth is also achievable for interacting models where the interaction between the particles is sufficiently simple.
arXiv Detail & Related papers (2024-11-22T18:57:08Z) - The scaling law of the arrival time of spin systems that present pretty
good transmission [49.1574468325115]
The pretty good transmission scenario implies that the probability of sending one excitation from one extreme of a spin chain to the other can reach values arbitrarily close to the unity just by waiting a time long enough.
Some works suggest that the time $t_varepsilon$ at which the pretty good transmission takes place scales as $1/(|varepsilon|)f(N)$.
We show that the exponent is not a simple function of the chain length but a power law of the number of linearly independent irrational eigenvalues of the one-excitation block of the Hamiltonian
arXiv Detail & Related papers (2023-09-05T13:13:00Z) - 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) - Understanding the propagation of excitations in quantum spin chains with
different kind of interactions [68.8204255655161]
It is shown that the inhomogeneous chains are able to transfer excitations with near perfect fidelity.
It is shown that both designed chains have in common a partially ordered spectrum and well localized eigenvectors.
arXiv Detail & Related papers (2021-12-31T15:09:48Z) - Spectrum of localized states in fermionic chains with defect and
adiabatic charge pumping [68.8204255655161]
We study the localized states of a generic quadratic fermionic chain with finite-range couplings.
We analyze the robustness of the connection between bands against perturbations of the Hamiltonian.
arXiv Detail & Related papers (2021-07-20T18:44:06Z) - 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) - Controlled quantum state transfer in $XX$ spin chains at the Quantum
Speed Limit [62.997667081978825]
In homogeneous chains it implies that taking information from one extreme of the chain to the other will take a time $O(N/2)$, where $N$ is the chain length.
We design control pulses that achieve near perfect population transfer between the extremes of the chain at times on the order of $N/2$, or larger.
arXiv Detail & Related papers (2020-05-15T23:10:19Z) - Almost exact state transfer in a spin chain via pulse control [0.0]
We propose an effective quantum control technique to realize almost exact state transfer (AEST) in a quantum spin chain.
The strategy is to add a leakage elimination operator (LEO) Hamiltonian to the evolution, which implements a sequence of pulse control acting on a perfect state transfer subspace.
arXiv Detail & Related papers (2020-05-04T08:12:47Z) - 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.