Demonstration of Discrete-Time Quantum Walks and Observation of Topological Edge States in a Superconducting Qutrit Chain

• URL: http://arxiv.org/abs/2601.01759v1
• Date: Mon, 05 Jan 2026 03:28:41 GMT
• Title: Demonstration of Discrete-Time Quantum Walks and Observation of Topological Edge States in a Superconducting Qutrit Chain
• Authors: Kun Zhou, Jian-Wen Xu, Qi-Ping Su, Yu Zhang, Xiang-Min Yu, Zhuang Ma, Han-Yu Zhang, Hong-Yi Shi, Wen Zheng, Shu-Yi Pan, Yi-Hao Kang, Zhi-Guo Huang, Chui-Ping Yang, Shao-Xiong Li, Yang Yu,
• Abstract summary: Quantum walk serves as a versatile tool for universal quantum computing and algorithmic research.<n>We experimentally demonstrate a scalable DTQW in a superconducting circuit, observing the ballistic spreading of quantum walk in a qutrit chain.<n>For the first time, particle-hole-symmetry-protected edge states, bounded at the interface between these two topological phases, are observed in the superconducting platform.
• Score: 25.102971758474734
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum walk serves as a versatile tool for universal quantum computing and algorithmic research. However, the implementation of discrete-time quantum walks (DTQWs) with superconducting circuits is still constrained by some limitations such as operation precision, circuit depth and connectivity. With improved hardware efficiency by using superconducting qutrits (three-level systems), we experimentally demonstrate a scalable DTQW in a superconducting circuit, observing the ballistic spreading of quantum walk in a qutrit chain. The usage of qutrits in our implementation allows hardware efficiently encoding of the walker position and the coin degree of freedom. By exploiting the flexibility and intrinsic symmetries of qutrit-based DTQWs, we successfully prepare two topological phases in the chain. For the first time, particle-hole-symmetry-protected edge states, bounded at the interface between these two topological phases, are observed in the superconducting platform. Measured parameter dependencies further validate the properties of edge states. The scalability and gate-control compatibility of the demonstrated DTQWs enable a versatile tool for superconducting quantum computing and quantum simulation.

Related papers

• Robust Implementation of Discrete-time Quantum Walks in Any Finite-dimensional Quantum System [2.646968944595457]
  discrete-time quantum walk (DTQW) model one of most suitable choices for circuit implementation. In this paper, we have successfully cut down the circuit cost concerning gate count and circuit depth by half. For the engineering excellence of our proposed approach, we implement DTQW in any finite-dimensional quantum system with akin efficiency.
  arXiv  Detail & Related papers  (2024-08-01T13:07:13Z)
• Quantum Compiling with Reinforcement Learning on a Superconducting Processor [55.135709564322624]
  We develop a reinforcement learning-based quantum compiler for a superconducting processor. We demonstrate its capability of discovering novel and hardware-amenable circuits with short lengths. Our study exemplifies the codesign of the software with hardware for efficient quantum compilation.
  arXiv  Detail & Related papers  (2024-06-18T01:49:48Z)
• Measurement of Many-Body Quantum Correlations in Superconducting Circuits [2.209921757303168]
  We propose a probe circuit capable of reading out many-body correlations in an analog quantum simulator.<n>We demonstrate the capabilities of this design in the context of an LC-ladder with a quantum impurity.
  arXiv  Detail & Related papers  (2024-06-17T17:36:36Z)
• Gate-tunable phase transition in a bosonic Su-Schrieffer-Heeger chain [9.290206579136372]
  Su-Schrieffer-Heeger model has gained prominence due to its simplicity and practical applications. We present the implementation of a gate-tunable, five-unit-cell bosonic SSH chain on a one-dimensional lattice of superconducting resonators. In contrast to prior work, our approach offers precise and independent in-situ tuning of the coupling parameters.
  arXiv  Detail & Related papers  (2024-04-10T22:03:32Z)
• QuantumSEA: In-Time Sparse Exploration for Noise Adaptive Quantum Circuits [82.50620782471485]
  QuantumSEA is an in-time sparse exploration for noise-adaptive quantum circuits. It aims to achieve two key objectives: (1) implicit circuits capacity during training and (2) noise robustness. Our method establishes state-of-the-art results with only half the number of quantum gates and 2x time saving of circuit executions.
  arXiv  Detail & Related papers  (2024-01-10T22:33:00Z)
• Measurement-induced entanglement and teleportation on a noisy quantum processor [105.44548669906976]
  We investigate measurement-induced quantum information phases on up to 70 superconducting qubits. We use a duality mapping, to avoid mid-circuit measurement and access different manifestations of the underlying phases. Our work demonstrates an approach to realize measurement-induced physics at scales that are at the limits of current NISQ processors.
  arXiv  Detail & Related papers  (2023-03-08T18:41:53Z)
• Generation of perfectly entangled two and three qubits states by classical random interaction [0.0]
  This study examines the possibility of finding perfect entanglers for a Hamiltonian. In this study, we use a superconducting circuit that stands out from other quantum-computing devices. Our scheme could contribute to quantum teleportation, quantum communication, and some other areas of quantum information processing.
  arXiv  Detail & Related papers  (2022-12-06T16:27:58Z)
• A quantum processor based on coherent transport of entangled atom arrays [44.62475518267084]
  We show a quantum processor with dynamic, nonlocal connectivity, in which entangled qubits are coherently transported in a highly parallel manner. We use this architecture to realize programmable generation of entangled graph states such as cluster states and a 7-qubit Steane code state.
  arXiv  Detail & Related papers  (2021-12-07T19:00:00Z)
• Realization of arbitrary doubly-controlled quantum phase gates [62.997667081978825]
  We introduce a high-fidelity gate set inspired by a proposal for near-term quantum advantage in optimization problems. By orchestrating coherent, multi-level control over three transmon qutrits, we synthesize a family of deterministic, continuous-angle quantum phase gates acting in the natural three-qubit computational basis.
  arXiv  Detail & Related papers  (2021-08-03T17:49:09Z)
• Gate-Based Circuit Designs For Quantum Adder Inspired Quantum Random Walks on Superconducting Qubits [0.0]
  We examine the viability of implementing Coin Quantum Random Walks using a Quantum Adder based Shift Operator. We focus on the strengths and weaknesses of these walks, particularly circuit depth, gate count, connectivity requirements, and scalability. We present several fidelity results from running our circuits on IBM's quantum volume 32 Toronto' chip, showcasing the extent to which these NISQ devices can currently handle quantum walks.
  arXiv  Detail & Related papers  (2020-12-18T14:34:18Z)
• Entanglement transfer, accumulation and retrieval via quantum-walk-based qubit-qudit dynamics [50.591267188664666]
  Generation and control of quantum correlations in high-dimensional systems is a major challenge in the present landscape of quantum technologies. We propose a protocol that is able to attain entangled states of $d$-dimensional systems through a quantum-walk-based it transfer & accumulate mechanism. In particular, we illustrate a possible photonic implementation where the information is encoded in the orbital angular momentum and polarization degrees of freedom of single photons.
  arXiv  Detail & Related papers  (2020-10-14T14:33:34Z)

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.