A Comparison of Encoding Techniques for an Analog Quantum Emulation Device

• URL: http://arxiv.org/abs/2211.03212v1
• Date: Sun, 6 Nov 2022 20:14:39 GMT
• Title: A Comparison of Encoding Techniques for an Analog Quantum Emulation Device
• Authors: Sharan Mourya
• Abstract summary: We show an analog quantum emulation device (AQED) where each qubit state is represented by a unique analog signal. We realize the entire device on a UMC 180nm processing node and demonstrate the computational advantage of an AQED.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum computers can outperform classical computers in certain tasks. However, there are still many challenges to the current quantum computers such as decoherence and fault tolerance, and other drawbacks such as portability and accessibility. In this study, we circumvent these issues by realizing an analog quantum emulation device (AQED) where each qubit state is represented by a unique analog signal. It is possible to do this because previously it was shown that Hermitian operations on a Hilbert space are not unique to quantum systems and can also be applied to a basis of complex signals that form a Hilbert space. Orthogonality of the complex signal basis can be maintained by separating the signals into the frequency domain or the spatial domain. We study both these approaches and present a comparison. We finally realize the entire device on a UMC 180nm processing node and demonstrate the computational advantage of an AQED by emulating Grover's search algorithm (GSA) and Quantum Fourier Transform (QFT). We also present the equivalent quantum volume achieved by this device.

Related papers

• Simulating quantum circuits with restricted quantum computers [0.0]
  This thesis is dedicated to the simulation of nonlocal quantum computation using local quantum operations. We characterize the optimal simulation overhead for a broad range of practically relevant nonlocal states and channels. We also investigate the utility of classical communication between the local parties.
  arXiv  Detail & Related papers  (2025-03-27T17:59:45Z)
• A Superconducting Qubit-Resonator Quantum Processor with Effective All-to-All Connectivity [44.72199649564072]
  This architecture can be used as a test-bed for algorithms that benefit from high connectivity. We show that the central resonator can be used as a computational element. We achieve a genuinely multi-qubit entangled Greenberger-Horne-Zeilinger (GHZ) state over all six qubits with a readout-error mitigated fidelity of $0.86$.
  arXiv  Detail & Related papers  (2025-03-13T21:36:18Z)
• Toward Mixed Analog-Digital Quantum Signal Processing: Quantum AD/DA Conversion and the Fourier Transform [3.0182150055236114]
  We develop a new paradigm of mixed analog-digital quantum signal processing. We show how it naturally enables analog-digital conversion of quantum signals. We then show that such quantum analog-digital conversion enables new implementations of quantum algorithms on CV-DV hardware.
  arXiv  Detail & Related papers  (2024-08-27T01:53:57Z)
• Efficient Learning for Linear Properties of Bounded-Gate Quantum Circuits [63.733312560668274]
  Given a quantum circuit containing d tunable RZ gates and G-d Clifford gates, can a learner perform purely classical inference to efficiently predict its linear properties? We prove that the sample complexity scaling linearly in d is necessary and sufficient to achieve a small prediction error, while the corresponding computational complexity may scale exponentially in d. We devise a kernel-based learning model capable of trading off prediction error and computational complexity, transitioning from exponential to scaling in many practical settings.
  arXiv  Detail & Related papers  (2024-08-22T08:21:28Z)
• Parallel Quantum Computing Simulations via Quantum Accelerator Platform Virtualization [44.99833362998488]
  We present a model for parallelizing simulation of quantum circuit executions. The model can take advantage of its backend-agnostic features, enabling parallel quantum circuit execution over any target backend.
  arXiv  Detail & Related papers  (2024-06-05T17:16:07Z)
• Quantum Signal Processing with the one-dimensional quantum Ising model [0.0]
  Quantum Signal Processing (QSP) has emerged as a promising framework to manipulate and determine properties of quantum systems. We provide examples and applications of our approach in diverse fields ranging from space-time dual quantum circuits and quantum simulation, to quantum control.
  arXiv  Detail & Related papers  (2023-09-08T18:01:37Z)
• Sequential quantum simulation of spin chains with a single circuit QED device [5.841833052422423]
  Quantum simulation of many-body systems in materials science and chemistry are promising application areas for quantum computers. We show how a single-circuit quantum electrodynamics device can be used to simulate the ground state of a highly-entangled quantum many-body spin chain. We demonstrate that the large state space of the cavity can be used to replace multiple qubits in a qubit-only architecture, and could therefore simplify the design of quantum processors for materials simulation.
  arXiv  Detail & Related papers  (2023-08-30T18:00:03Z)
• Schrödinger as a Quantum Programmer: Estimating Entanglement via Steering [3.187381965457262]
  We develop a quantum algorithm that tests for and quantifies the separability of a general bipartite state by using the quantum steering effect. Our findings provide a meaningful connection between steering, entanglement, quantum algorithms, and quantum computational complexity theory.
  arXiv  Detail & Related papers  (2023-03-14T13:55:06Z)
• Quantum process tomography of continuous-variable gates using coherent states [49.299443295581064]
  We demonstrate the use of coherent-state quantum process tomography (csQPT) for a bosonic-mode superconducting circuit. We show results for this method by characterizing a logical quantum gate constructed using displacement and SNAP operations on an encoded qubit.
  arXiv  Detail & Related papers  (2023-03-02T18:08:08Z)
• Interactive Protocols for Classically-Verifiable Quantum Advantage [46.093185827838035]
  "Interactions" between a prover and a verifier can bridge the gap between verifiability and implementation. We demonstrate the first implementation of an interactive quantum advantage protocol, using an ion trap quantum computer.
  arXiv  Detail & Related papers  (2021-12-09T19:00:00Z)
• 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)
• Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
  We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor. We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
  arXiv  Detail & Related papers  (2021-01-21T22:18:49Z)

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.