Mimicking states with limited resources: passing quantum quiz via global control

• URL: http://arxiv.org/abs/2208.08568v2
• Date: Tue, 9 Jan 2024 12:21:29 GMT
• Title: Mimicking states with limited resources: passing quantum quiz via global control
• Authors: P. V. Pyshkin, E. Ya. Sherman, A. G\'abris and Lian-Ao Wu
• Abstract summary: We propose, analyze, and optimize a protocol which allows fast simulation of properties of unknown quantum states. Our protocol, having common features with quantum identification and shortcuts to adiabaticity, permits avoiding adiabaticity catastrophe.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Precise control of quantum systems with a moderate number of degrees of freedom, being of interest for application in quantum technologies, becomes experimentally feasible. Various types of quantum scenarios and protocols are being widely discussed in scientific literature. We propose, analyze, and optimize a protocol which allows fast simulation of properties of unknown quantum states relying on minimum relevant information. Our protocol, having common features with quantum identification and shortcuts to adiabaticity, permits avoiding orthogonality catastrophe, where transitions between physically very similar systems are characterized by zero or a very low fidelity.

Related papers

• Mixed-Dimensional Qudit State Preparation Using Edge-Weighted Decision Diagrams [3.393749500700096]
  Quantum computers have the potential to solve intractable problems. One key element to exploiting this potential is the capability to efficiently prepare quantum states for multi-valued, or qudit, systems. In this paper, we investigate quantum state preparation with a focus on mixed-dimensional systems.
  arXiv  Detail & Related papers  (2024-06-05T18:00:01Z)
• Separable Power of Classical and Quantum Learning Protocols Through the Lens of No-Free-Lunch Theorem [70.42372213666553]
  The No-Free-Lunch (NFL) theorem quantifies problem- and data-independent generalization errors regardless of the optimization process. We categorize a diverse array of quantum learning algorithms into three learning protocols designed for learning quantum dynamics under a specified observable. Our derived NFL theorems demonstrate quadratic reductions in sample complexity across CLC-LPs, ReQu-LPs, and Qu-LPs. We attribute this performance discrepancy to the unique capacity of quantum-related learning protocols to indirectly utilize information concerning the global phases of non-orthogonal quantum states.
  arXiv  Detail & Related papers  (2024-05-12T09:05:13Z)
• Quantum algorithms: A survey of applications and end-to-end complexities [90.05272647148196]
  The anticipated applications of quantum computers span across science and industry. We present a survey of several potential application areas of quantum algorithms. We outline the challenges and opportunities in each area in an "end-to-end" fashion.
  arXiv  Detail & Related papers  (2023-10-04T17:53:55Z)
• 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)
• Measuring Arbitrary Physical Properties in Analog Quantum Simulation [0.5999777817331317]
  A central challenge in analog quantum simulation is to characterize desirable physical properties of quantum states produced in experiments. We propose and analyze a scalable protocol that leverages the ergodic nature of generic quantum dynamics. Our protocol excitingly promises to overcome limited controllability and, thus, enhance the versatility and utility of near-term quantum technologies.
  arXiv  Detail & Related papers  (2022-12-05T19:00:01Z)
• Resource analysis for quantum-aided Byzantine agreement with the four-qubit singlet state [1.2094859111770522]
  In distributed computing, a Byzantine fault is a condition where a component behaves inconsistently, showing different symptoms to different components of the system. Our work highlights important engineering aspects of the future deployment of quantum communication protocols with multi-qubit entangled states.
  arXiv  Detail & Related papers  (2022-07-11T15:17:58Z)
• The randomized measurement toolbox [3.2095357952052854]
  We review recently developed protocols for probing the properties of complex many-qubit systems. In all these protocols, a quantum state is repeatedly prepared and measured in a randomly chosen basis. We discuss a range of use cases that have already been realized in quantum devices.
  arXiv  Detail & Related papers  (2022-03-21T22:33:18Z)
• Certification of quantum states with hidden structure of their bitstrings [0.0]
  We propose a numerically cheap procedure to describe and distinguish quantum states. We show that it is enough to characterize quantum states with different structure of entanglement. Our approach can be employed to detect phase transitions of different nature in many-body quantum magnetic systems.
  arXiv  Detail & Related papers  (2021-07-21T06:22:35Z)
• On exploring the potential of quantum auto-encoder for learning quantum systems [60.909817434753315]
  We devise three effective QAE-based learning protocols to address three classically computational hard learning problems. Our work sheds new light on developing advanced quantum learning algorithms to accomplish hard quantum physics and quantum information processing tasks.
  arXiv  Detail & Related papers  (2021-06-29T14:01:40Z)
• Direct Quantum Communications in the Presence of Realistic Noisy Entanglement [69.25543534545538]
  We propose a novel quantum communication scheme relying on realistic noisy pre-shared entanglement. Our performance analysis shows that the proposed scheme offers competitive QBER, yield, and goodput.
  arXiv  Detail & Related papers  (2020-12-22T13:06:12Z)
• 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.