Benchmarking logical three-qubit quantum Fourier transform encoded in the Steane code on a trapped-ion quantum computer

• URL: http://arxiv.org/abs/2404.08616v1
• Date: Fri, 12 Apr 2024 17:27:27 GMT
• Title: Benchmarking logical three-qubit quantum Fourier transform encoded in the Steane code on a trapped-ion quantum computer
• Authors: Karl Mayer, Ciarán Ryan-Anderson, Natalie Brown, Elijah Durso-Sabina, Charles H. Baldwin, David Hayes, Joan M. Dreiling, Cameron Foltz, John P. Gaebler, Thomas M. Gatterman, Justin A. Gerber, Kevin Gilmore, Dan Gresh, Nathan Hewitt, Chandler V. Horst, Jacob Johansen, Tanner Mengle, Michael Mills, Steven A. Moses, Peter E. Siegfried, Brian Neyenhuis, Juan Pino, Russell Stutz,
• Abstract summary: We logically encoded three-qubit circuits for the quantum transform (QFT) We benchmark the circuits on the Quantinuum H2-11 trapped-ion quantum computer. We compare the logical QFT benchmark results to predictions based on the logical component benchmarks.
• Score: 3.2821436094760026
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We implement logically encoded three-qubit circuits for the quantum Fourier transform (QFT), using the [[7,1,3]] Steane code, and benchmark the circuits on the Quantinuum H2-1 trapped-ion quantum computer. The circuits require multiple logical two-qubit gates, which are implemented transversally, as well as logical non-Clifford single-qubit rotations, which are performed by non-fault-tolerant state preparation followed by a teleportation gadget. First, we benchmark individual logical components using randomized benchmarking for the logical two-qubit gate, and a Ramsey-type experiment for the logical $T$ gate. We then implement the full QFT circuit, using two different methods for performing a logical control-$T$, and benchmark the circuits by applying it to each basis state in a set of bases that is sufficient to lower bound the process fidelity. We compare the logical QFT benchmark results to predictions based on the logical component benchmarks.

Related papers

• Efficient fault-tolerant code switching via one-way transversal CNOT gates [0.0]
  We present a code scheme that respects the constraints of FT circuit design by only making use of switching gates. We analyze application of the scheme to low-distance color codes, which are suitable for operation in existing quantum processors. We discuss how the scheme can be implemented with a large degree of parallelization, provided that logical auxiliary qubits can be prepared reliably enough.
  arXiv  Detail & Related papers  (2024-09-20T12:54:47Z)
• Demonstrating a universal logical gate set on a superconducting quantum processor [13.391691829693226]
  Fault-tolerant quantum computing (FTQC) is essential for achieving large-scale practical quantum computation. Here, we experimentally implement logical CNOT gate as well as arbitrary single-qubit rotation gates on distance-2 surface codes using the superconducting quantum processor Wutextkong. In the experiment, we design encoding circuits to prepare the required logical states, where fidelities of the fault-tolerantly prepared logical states surpass those of the physical states.
  arXiv  Detail & Related papers  (2024-05-15T02:04:34Z)
• Logical quantum processor based on reconfigurable atom arrays [27.489364850707926]
  We report the realization of a programmable quantum processor based on encoded logical qubits operating with up to 280 physical qubits. Results herald the advent of early error-corrected quantum computation.
  arXiv  Detail & Related papers  (2023-12-07T01:54:45Z)
• Quantum Fourier Addition, Simplified to Toffoli Addition [92.18777020401484]
  We present the first systematic translation of the QFT-addition circuit into a Toffoli-based adder. Instead of using approximate decompositions of the gates from the QFT circuit, it is more efficient to merge gates.
  arXiv  Detail & Related papers  (2022-09-30T02:36:42Z)
• A Quantum Algorithm for Computing All Diagnoses of a Switching Circuit [73.70667578066775]
  Faults are by nature while most man-made systems, and especially computers, work deterministically. This paper provides such a connecting via quantum information theory which is an intuitive approach as quantum physics obeys probability laws.
  arXiv  Detail & Related papers  (2022-09-08T17:55:30Z)
• Logical blocks for fault-tolerant topological quantum computation [55.41644538483948]
  We present a framework for universal fault-tolerant logic motivated by the need for platform-independent logical gate definitions. We explore novel schemes for universal logic that improve resource overheads. Motivated by the favorable logical error rates for boundaryless computation, we introduce a novel computational scheme.
  arXiv  Detail & Related papers  (2021-12-22T19:00:03Z)
• LQP: The Dynamic Logic of Quantum Information [77.34726150561087]
  This paper introduces a dynamic logic formalism for reasoning about information flow in composite quantum systems. We present a finitary syntax, a relational semantics and a sound proof system for this logic. As applications, we use our system to give formal correctness for the Teleportation protocol and for a standard Quantum Secret Sharing protocol.
  arXiv  Detail & Related papers  (2021-10-04T12:20:23Z)
• 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)
• Low-overhead pieceable fault-tolerant construction of logical controlled-phase circuit for degenerate quantum code [11.106110829349221]
  We search for a non-transversal but fault-tolerant construction of a logical controlled-phase gate for quantum code. We find a 3-piece fault-tolerant logical CZ circuit on this code.
  arXiv  Detail & Related papers  (2021-05-15T04:06:12Z)
• 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)
• Qubit Mapping Based on Subgraph Isomorphism and Filtered Depth-Limited Search [5.980663391414905]
  Mapping logical quantum circuits to Noisy Intermediate-Scale Quantum (NISQ) devices is a challenging problem. This paper proposes an efficient method by selecting an initial mapping that takes into consideration the similarity between the architecture graph of the given NISQ device and a graph induced by the input logical circuit. The proposed circuit transformation algorithm can significantly decrease the number of auxiliary two-qubit gates required to be added to the logical circuit.
  arXiv  Detail & Related papers  (2020-04-15T15:07:49Z)

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.