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San Francisco's Golden Gate Bridge is exposed to temperatures ranging from -15 °C to 40 °C. At its coldest, the main span of the bridge is 1275 m long. Assuming that the bridge is made entirely of steel, what is the change in its length between these temperatures?
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in temperature (ΔT) is 55...
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Concrete mixing ensures a homogenous blend where aggregates are well-coated with cement paste. Concrete mixing is typically done using two main types of mixers: batch and continuous. Batch mixers handle one batch at a time, thoroughly combining materials before discharging and receiving the next batch. In contrast, continuous mixers receive a steady flow of ingredients, mixing them consistently and discharging without interruption. Within batch mixers, tilting drum mixers mix with internal...
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The concept of mixing time is significant in producing a uniform concrete mix with the required strength. The mixing period starts once all components are in the mixer. Initially, the mixer is charged with 10% of the water, followed by the consistent addition of solids and then 80% of the water. The remaining water is added later, within the first quarter of the mixing period. The minimum mixing time varies according to the mixer's capacity; for example, mixers with up to 1 cubic yard...
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Thermal strain is a concept that arises when we consider how temperature changes affect structures. Unlike the conventional assumption that structures remain constant under load, real-world scenarios often involve temperature fluctuations that can significantly impact these structures. Consider a homogeneous rod with a uniform cross-section resting freely on a flat horizontal surface. If the rod's temperature increases, the rod elongates. This elongation is proportional to the temperature...
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The expansion of alcohol in a thermometer is one of many commonly encountered examples of thermal expansion, which is the change in size or volume of a given system as its temperature changes. The most visible example is the expansion of hot air. When air is heated, it expands and becomes less dense than the surrounding air, which then exerts an upward force on the hot air to, for example, make steam and smoke rise, and hot air balloons float. The same behavior happens in all liquids and gases,...
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If the temperature of an object is changed while it is prevented from expanding or contracting, the object is subjected to stress. The stress is compressive if the object expands in the absence of constraint and tensile if it contracts. This stress resulting from temperature change is known as thermal stress. It can be quite large and can cause damage. To avoid this stress, engineers may design components so they can expand and contract freely. For instance, on highways, gaps are deliberately...
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Thermal Ablation for the Treatment of Abdominal Tumors
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Termalización Profunda de Estados Mixtos

Xie-Hang Yu1, Wen Wei Ho2,3, Pavel Kos1

  • 1Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany.

Physical review letters
|January 20, 2026
PubMed
Resumen
Este resumen es generado por máquina.

Introducimos el conjunto proyectado de estados mixtos (MSPE) para sistemas cuánticos con mediciones incompletas. Este nuevo marco revela la universalidad de la termalización profunda y proporciona un método físico para muestrear matrices de densidad aleatorias.

Palabras clave:
conjuntos proyectados de estados mixtostermalización profundateletransportación cuánticacircuitos cuánticos dual-unitariosfidelidad de teletransportaciónentropía condicional cuántica

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Área de la Ciencia:

  • Física de Muchos Cuerpos Cuántica
  • Teoría de la Información Cuántica

Sus antecedentes:

  • El conjunto proyectado de estados puros (PSPE) describe sistemas cuánticos con mediciones completas, exhibiendo termalización profunda.
  • Las simulaciones cuánticas del mundo real implican mediciones incompletas y con pérdidas, lo que requiere un marco más general.

Objetivo del estudio:

  • Introducir el conjunto proyectado de estados mixtos (MSPE) como una generalización del PSPE para mediciones incompletas.
  • Investigar la emergencia de la universalidad de la termalización en los MSPE.
  • Analizar propiedades de información cuántica, específicamente la fidelidad de teletransportación, dentro de los MSPE.

Principales métodos:

  • Estudiamos los MSPE generados por circuitos cuánticos dual-unitarios (1+1)d resolubles.
  • Identificamos distribuciones de estados mixtos limitantes para tamaños variables de mediciones incompletas.
  • Derivamos la tasa de emergencia de la universalidad.
  • Investigamos la fidelidad de teletransportación cuántica y su relación con la entropía condicional cuántica.

Principales resultados:

  • Identificamos distribuciones de estados mixtos limitantes correspondientes a los conocidos conjuntos de matrices de densidad aleatorias.
  • Encontramos que la fidelidad de teletransportación exhibe una transición aguda basada en la pérdida de medición.
  • Derivamos la tasa a la que emerge la universalidad en el MSPE.

Conclusiones:

  • El MSPE proporciona un marco para estudiar la termalización profunda en sistemas cuánticos realistas con mediciones imperfectas.
  • El estudio ofrece un método físico para muestrear a partir de conjuntos abstractos de matrices de densidad aleatorias.
  • Los resultados son relevantes para los experimentos actuales de simulación cuántica y avanzan la comprensión del$\$equilibrio cuántico.