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A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing...
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The motion of molecules in a gas is random in magnitude and direction for individual molecules, but a gas of many molecules has a predictable distribution of molecular speeds. This predictable distribution of molecular speeds is known as the Maxwell-Boltzmann distribution. The distribution of molecular speeds in liquids is comparable to that of gases but not identical and can help to understand the phenomenon of the boiling and vapor pressure of a liquid. Consider that a molecule requires a...
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The speed of a wave depends on the characteristics of the medium. For example, in the case of a guitar, the strings vibrate to produce the sound. The speed of the waves on the strings and the wavelength determine the frequency of the sound produced. The strings on a guitar have different thicknesses but may be made of similar material. They have different linear densities, and the linear density is defined as the mass per length.
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Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
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La computación cuántica. La definición y detección de aceleración cuántica.

Troels F Rønnow1, Zhihui Wang2, Joshua Job3

  • 1Theoretische Physik, ETH (Eidgenössische Technische Hochschule) Zurich, 8093 Zurich, Switzerland.

Science (New York, N.Y.)
|July 26, 2014
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Resumen

Los investigadores exploraron cómo medir la aceleración cuántica en pequeños dispositivos cuánticos. La prueba de un dispositivo D-Wave Two con 503 qubits no encontró una aceleración cuántica clara para problemas de vidrio de espín aleatorio.

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Área de la Ciencia:

  • La computación cuántica es la computación cuántica.
  • Teoría de la complejidad computacional.

Sus antecedentes:

  • La evaluación de la aceleración cuántica es crucial para evaluar el hardware cuántico.
  • Los dispositivos cuánticos a pequeña escala presentan desafíos únicos para la medición del rendimiento.

Objetivo del estudio:

  • Para definir y medir la aceleración cuántica de manera rigurosa.
  • Identificar y evitar las trampas comunes en la evaluación de la aceleración.
  • Para probar empíricamente estos métodos en un recolador cuántico D-Wave Two.

Principales métodos:

  • Desarrollo de un marco para definir y medir la aceleración cuántica.
  • Utilizando instancias aleatorias de vidrio de giro como un problema de referencia.
  • Pruebas en un dispositivo D-Wave Two con hasta 503 qubits.

Principales resultados:

  • No se encontró evidencia de aceleración cuántica al analizar todo el conjunto de datos.
  • Se obtuvieron resultados no concluyentes al comparar subconjuntos de instancias individualmente.
  • El estudio destaca la naturaleza sutil de la detección de aceleración cuántica.

Conclusiones:

  • Los métodos y puntos de referencia actuales pueden no revelar aceleración cuántica para todos los tipos de problemas.
  • La consideración cuidadosa del análisis de datos es esencial para evitar una interpretación errónea de los resultados.
  • Se necesita más investigación para explorar la aceleración cuántica en diversas clases de problemas.