A Representative Framework for Implementing Quantum Finite Automata on Real Devices

• URL: http://arxiv.org/abs/2406.11360v1
• Date: Mon, 17 Jun 2024 09:28:24 GMT
• Title: A Representative Framework for Implementing Quantum Finite Automata on Real Devices
• Authors: Aliya Khadieva, Özlem Salehi, Abuzer Yakaryılmaz,
• Abstract summary: We present a framework for the implementation of quantum finite automata algorithms for gate-based quantum computers. First, we compile the known theoretical results from the literature to reduce the number of CNOT gates. Second, we demonstrate techniques for modifying the algorithms based on the basis gates of available quantum hardware.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present a framework for the implementation of quantum finite automata algorithms designed for the language $ MOD_p = \{ a^{i\cdot p } \mid i \geq 0 \}$ on gate-based quantum computers. First, we compile the known theoretical results from the literature to reduce the number of CNOT gates. Second, we demonstrate techniques for modifying the algorithms based on the basis gates of available quantum hardware in order to reduce circuit depth. Lastly, we explore how the number of CNOT gates may be reduced further if the topology of the qubits is known.

Related papers

• SWAP-less Implementation of Quantum Algorithms [0.0]
  We present a formalism based on tracking the flow of parity quantum information to implement algorithms on devices with limited connectivity. We leverage the fact that entangling gates not only manipulate quantum states but can also be exploited to transport quantum information.
  arXiv  Detail & Related papers  (2024-08-20T14:51:00Z)
• Linear Circuit Synthesis using Weighted Steiner Trees [45.11082946405984]
  CNOT circuits are a common building block of general quantum circuits. This article presents state-of-the-art algorithms for optimizing the number of CNOT gates. A simulated evaluation shows that the suggested is almost always beneficial and reduces the number of CNOT gates by up to 10%.
  arXiv  Detail & Related papers  (2024-08-07T19:51:22Z)
• Measurement-Based Long-Range Entangling Gates in Constant Depth [0.46040036610482665]
  We show how to reduce the depth of quantum sub-routines to a constant depth using mid-circuit measurements and feed-forward operations. We verify the feasibility by implementing the measurement-based quantum fan-out gate and long-range CNOT gate on real quantum hardware.
  arXiv  Detail & Related papers  (2024-08-06T09:35:42Z)
• 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)
• Universal qudit gate synthesis for transmons [44.22241766275732]
  We design a superconducting qudit-based quantum processor. We propose a universal gate set featuring a two-qudit cross-resonance entangling gate. We numerically demonstrate the synthesis of $rm SU(16)$ gates for noisy quantum hardware.
  arXiv  Detail & Related papers  (2022-12-08T18:59:53Z)
• Compilation of algorithm-specific graph states for quantum circuits [55.90903601048249]
  We present a quantum circuit compiler that prepares an algorithm-specific graph state from quantum circuits described in high level languages. The computation can then be implemented using a series of non-Pauli measurements on this graph state.
  arXiv  Detail & Related papers  (2022-09-15T14:52:31Z)
• Initial-State Dependent Optimization of Controlled Gate Operations with Quantum Computer [1.2019888796331233]
  We introduce a new circuit called AQCEL, which aims to remove redundant controlled operations from controlled gates. As a benchmark, the AQCEL is deployed on a quantum algorithm designed to model final state radiation in high energy physics. We have demonstrated that the AQCEL-optimized circuit can produce equivalent final states with much smaller number of gates.
  arXiv  Detail & Related papers  (2022-09-06T09:19:07Z)
• Approaching the theoretical limit in quantum gate decomposition [0.0]
  We propose a novel numerical approach to decompose general quantum programs in terms of single- and two-qubit quantum gates with a $CNOT$ gate count. Our approach is based on a sequential optimization of parameters related to the single-qubit rotation gates involved in a pre-designed quantum circuit used for the decomposition.
  arXiv  Detail & Related papers  (2021-09-14T15:36:22Z)
• Synthesis of Quantum Circuits with an Island Genetic Algorithm [44.99833362998488]
  Given a unitary matrix that performs certain operation, obtaining the equivalent quantum circuit is a non-trivial task. Three problems are explored: the coin for the quantum walker, the Toffoli gate and the Fredkin gate. The algorithm proposed proved to be efficient in decomposition of quantum circuits, and as a generic approach, it is limited only by the available computational power.
  arXiv  Detail & Related papers  (2021-06-06T13:15:25Z)
• Quantum Search for Scaled Hash Function Preimages [1.3299507495084417]
  We present the implementation of Grover's algorithm in a quantum simulator to perform a quantum search for preimages of two scaled hash functions. We show that strategies that suggest a shortcut based on sampling the quantum register after a few steps of Grover's algorithm can only provide some marginal practical advantage in terms of error mitigation.
  arXiv  Detail & Related papers  (2020-09-01T18:00:02Z)
• Improving the Performance of Deep Quantum Optimization Algorithms with Continuous Gate Sets [47.00474212574662]
  Variational quantum algorithms are believed to be promising for solving computationally hard problems. In this paper, we experimentally investigate the circuit-depth-dependent performance of QAOA applied to exact-cover problem instances. Our results demonstrate that the use of continuous gate sets may be a key component in extending the impact of near-term quantum computers.
  arXiv  Detail & Related papers  (2020-05-11T17:20:51Z)

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.