Multi-controlled Phase Gate Synthesis with ZX-calculus applied to Neutral Atom Hardware

• URL: http://arxiv.org/abs/2403.10864v2
• Date: Mon, 12 Aug 2024 11:21:10 GMT
• Title: Multi-controlled Phase Gate Synthesis with ZX-calculus applied to Neutral Atom Hardware
• Authors: Korbinian Staudacher, Ludwig Schmid, Johannes Zeiher, Robert Wille, Dieter Kranzlmüller,
• Abstract summary: We present an approach to synthesize multi controlled phase gates using ZX calculus. By representing quantum circuits as graph like ZX diagrams, one can utilize the distinct graph structure of diagonal gates.
• Score: 2.536162003546062
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum circuit synthesis describes the process of converting arbitrary unitary operations into a gate sequence of a fixed universal gate set, usually defined by the operations native to a given hardware platform. Most current synthesis algorithms are designed to synthesize towards a set of single qubit rotations and an additional entangling two qubit gate, such as CX, CZ, or the Molmer Sorensen gate. However, with the emergence of neutral atom based hardware and their native support for gates with more than two qubits, synthesis approaches tailored to these new gate sets become necessary. In this work, we present an approach to synthesize multi controlled phase gates using ZX calculus. By representing quantum circuits as graph like ZX diagrams, one can utilize the distinct graph structure of diagonal gates to identify multi controlled phase gates inherently present in some quantum circuits even if none were explicitly defined in the original circuit. We evaluate the approach on a wide range of benchmark circuits and compare them to the standard Qiskit synthesis regarding its circuit execution time for neutral atom based hardware with native support of multi controlled gates. Our results show possible advantages for current state of the art hardware and represent the first exact synthesis algorithm supporting arbitrary sized multi controlled phase gates.

Related papers

• Multi-controlled single-qubit unitary gates based on the quantum Fourier transform [0.0]
  Multi-controlled (MC) unitary (U) gates are widely employed in quantum algorithms and circuits. Few state-of-the-art decompositions of MCU gates use non-elementary $C-R_x$ and $C-U1/2m-1$ gates. Our approach is based on two generalizations of the multi-controlled X (MCX) gate.
  arXiv  Detail & Related papers  (2024-08-01T21:56:02Z)
• One Gate Scheme to Rule Them All: Introducing a Complex Yet Reduced Instruction Set for Quantum Computing [8.478982715648547]
  Scheme for qubits with $XX+YY$ coupling realizes any two-qubit gate up to single-qubit gates. We observe marked improvements across various applications, including generic $n$-qubit gate synthesis, quantum volume, and qubit routing.
  arXiv  Detail & Related papers  (2023-12-09T19:30:31Z)
• 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)
• Applications of Universal Parity Quantum Computation [0.0]
  We demonstrate the applicability of a universal gate set in the parity encoding, which is a dual to the standard gate model. Embedding these algorithms in the parity encoding reduces the circuit depth compared to conventional gate-based implementations. We propose simple implementations of multiqubit gates in tailored encodings and an efficient strategy to prepare graph states.
  arXiv  Detail & Related papers  (2022-05-19T12:31:46Z)
• Efficient quantum gate decomposition via adaptive circuit compression [0.0]
  The utilization of parametric two-qubit gates in the circuit design allows us to transform the discrete problem of circuit synthesis into an optimization problem over continuous variables. We implemented the algorithm in the SQUANDER software package and benchmarked it against several state-of-the-art quantum gate synthesis tools.
  arXiv  Detail & Related papers  (2022-03-08T22:29:31Z)
• Quantum simulation of $\phi^4$ theories in qudit systems [53.122045119395594]
  We discuss the implementation of quantum algorithms for lattice $Phi4$ theory on circuit quantum electrodynamics (cQED) system. The main advantage of qudit systems is that its multi-level characteristic allows the field interaction to be implemented only with diagonal single-qudit gates.
  arXiv  Detail & Related papers  (2021-08-30T16:30:33Z)
• Accurate methods for the analysis of strong-drive effects in parametric gates [94.70553167084388]
  We show how to efficiently extract gate parameters using exact numerics and a perturbative analytical approach. We identify optimal regimes of operation for different types of gates including $i$SWAP, controlled-Z, and CNOT.
  arXiv  Detail & Related papers  (2021-07-06T02:02:54Z)
• Quantum control landscape for ultrafast generation of single-qubit phase shift quantum gates [68.8204255655161]
  We consider the problem of ultrafast controlled generation of single-qubit phase shift quantum gates. Globally optimal control is a control which realizes the gate with maximal possible fidelity. Trap is a control which is optimal only locally but not globally.
  arXiv  Detail & Related papers  (2021-04-26T16:38:43Z)
• A universal quantum gate set for transmon qubits with strong ZZ interactions [16.56373732567445]
  High-fidelity single- and two-qubit gates are essential building blocks for a fault-tolerant quantum computer. One limiting factor is the residual ZZ-interaction, which originates from a coupling between computational states and higher-energy states. We experimentally demonstrate that it can be exploited to produce a universal set of fast single- and two-qubit entangling gates.
  arXiv  Detail & Related papers  (2021-03-23T04:46:55Z)
• QUANTIFY: A framework for resource analysis and design verification of quantum circuits [69.43216268165402]
  QUANTIFY is an open-source framework for the quantitative analysis of quantum circuits. It is based on Google Cirq and is developed with Clifford+T circuits in mind. For benchmarking purposes QUANTIFY includes quantum memory and quantum arithmetic circuits.
  arXiv  Detail & Related papers  (2020-07-21T15:36:25Z)
• 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.