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Related Concept Videos

Design Example: Capacitance Multiplier Circuit01:20

Design Example: Capacitance Multiplier Circuit

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In integrated circuit technology, a capacitance multiplier is often utilized to produce a larger capacitance value when a small physical capacitance falls short. This is achieved by a circuit that multiplies capacitance values by a factor of up to 1000, such that a 10-pF capacitor can replicate the performance of a 100-nF capacitor.
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Norton's theorem is a fundamental concept in the field of electrical engineering that allows for the simplification of complex AC circuits. The theorem states that any two-terminal linear network can be replaced with an equivalent circuit that consists of an impedance, which is parallel with a constant current source. Figure 1 shows the AC circuit portioned into two parts: Circuit A and Circuit B, while Figure 2 depicts the circuit obtained by replacing Circuit A by its Norton equivalent...
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When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
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Quantum error mitigation via quantum-noise-effect circuit groups.

Yusuke Hama1, Hirofumi Nishi2,3

  • 1Quemix Inc., 2-11-2 Nihombashi, Chuo-ku, Tokyo, 103-0027, Japan. yhama@quemix.com.

Scientific Reports
|March 14, 2024
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Summary
This summary is machine-generated.

This study introduces a novel quantum error mitigation (QEM) scheme to reduce noise in near-term quantum computers. The method effectively corrects errors from decoherence, yielding accurate results on real quantum devices.

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Area of Science:

  • Quantum Computing
  • Quantum Information Science
  • Error Mitigation

Background:

  • Near-term quantum computers (NISQ devices) are susceptible to quantum noise, limiting computational accuracy.
  • Traditional quantum error correction is not feasible for NISQ devices, necessitating alternative error mitigation strategies.

Purpose of the Study:

  • To propose and validate a novel quantum error mitigation (QEM) scheme for reducing computational errors caused by decoherence in NISQ devices.

Main Methods:

  • Estimate quantum noise effects on single-qubit states and represent them as quantum-noise-effect circuit groups.
  • Subtract expectation values from noise-effect circuits from algorithm circuits to mitigate errors.
  • Validate the QEM scheme through noisy quantum simulations and implementation on IBM Q Experience processors.

Main Results:

  • The proposed QEM scheme effectively reduces quantum noise effects, approximating ideal expectation values.
  • The complexity of the QEM scheme scales polynomially with algorithm depth and number of qubits.
  • The scheme's validity was confirmed via simulations and real quantum device experiments.

Conclusions:

  • The developed QEM scheme is hardware-agnostic, composed solely of quantum gates and measurements.
  • This approach can be applied to various quantum noise types and long-depth quantum algorithms.
  • The QEM scheme offers a practical solution for enhancing accuracy in current and future quantum computations.