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Related Concept Videos

Quantum Numbers02:43

Quantum Numbers

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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An atom comprises protons and neutrons, which are contained inside the dense, central core called the nucleus, with electrons present around the nucleus. Taking into account the wave–particle duality of electrons and the uncertainty in position around the nucleus, quantum mechanics provides a more accurate model for the atomic structure. It describes atomic orbitals as the regions around the nucleus where electrons of discrete energy exist, characterized by four quantum...
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The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
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Cartesian vector notation is a valuable tool in mechanical engineering for representing vectors in three-dimensional space, performing vector operations such as determining the gradient, divergence, and curl, and expressing physical quantities such as the displacement, velocity, acceleration, and force. By using Cartesian vector notation, engineers can more easily analyze and solve problems in various areas of mechanical engineering, including dynamics, kinematics, and fluid mechanics. This...
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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Surface code for low-density qubit array.

Tatsuya Tomaru1, Chihiro Yoshimura2, Hiroyuki Mizuno2

  • 1Center for Exploratory Research, Research and Development Group, Hitachi, Ltd., Kokubunji, Tokyo, 185-8601, Japan. tatsuya.tomaru.yq@hitachi.com.

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Summary

This study proposes a sparse qubit array for surface code, enabling efficient quantum error correction. This approach simplifies design and control for fault-tolerant quantum computations.

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Area of Science:

  • Quantum computing
  • Quantum error correction
  • Surface code

Background:

  • Surface code is crucial for fault-tolerant quantum computation using 2D qubit grids.
  • Dense qubit integration leads to complex gate and control line designs.

Purpose of the Study:

  • To propose a sparse qubit array design for surface code implementation.
  • To address challenges in designing and controlling dense qubit arrays.

Main Methods:

  • Qubits are placed on both nodes and edges of a 2D grid.
  • Edge qubits act as deputies for data and syndrome qubits.
  • Syndrome outputs are derived from syndrome and edge qubit measurements.

Main Results:

  • A novel sparse qubit array architecture for surface code is presented.
  • The method simplifies the design and control of quantum error correction systems.
  • The proposed approach maintains the core procedures of the standard surface code.

Conclusions:

  • The sparse qubit array design makes surface code applicable to more efficient quantum computing architectures.
  • This innovation facilitates the development of fault-tolerant quantum computers with reduced complexity.