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Related Concept Videos

Quantum Numbers02:43

Quantum Numbers

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.
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

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 hydrogen spectra. Schrödinger...
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The brain processes sensory information rapidly due to parallel processing, which involves sending data across multiple neural pathways at the same time. This method allows the brain to manage various sensory qualities, such as shapes, colors, movements, and locations, all concurrently. For instance, when observing a forest landscape, the brain simultaneously processes the movement of leaves, the shapes of trees, the depth between them, and the various shades of green. This enables a quick and...
Singularity Functions for Shear01:26

Singularity Functions for Shear

In structural analysis, singularity functions are crucial in simplifying the representation of shear forces in beams under discontinuous loading. These functions describe discontinuous variations in shear force across a beam with varying loads by using a single mathematical expression, regardless of the complexity of the loading conditions. The singularity functions are derived from creating a free-body diagram of the beam and then making conceptual cuts at specific points to examine the shear...
Calculation of First-Law Quantities II01:24

Calculation of First-Law Quantities II

The first law of thermodynamics establishes that the change in internal energy of a system is given by ΔU = q + w, where q is the heat exchanged, and w is the work performed. For a perfect gas, both internal energy (U) and enthalpy (H) depend solely on temperature. Consequently, for any change of state, whether reversible or irreversible, the internal energy change is determined by integrating the heat capacity at constant volume, and the enthalpy change by integrating the heat capacity at...
Calculation of First Law Quantities I01:25

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Thermodynamic systems undergoing phase transitions or temperature changes experience energy transfer in the form of heat (q) and work (w). For a reversible phase change at constant temperature (T) and pressure (p), the process involves no chemical reaction but results in energy exchange between distinct phases.The heat transferred during this process corresponds to the latent heat of transition, which is the amount of heat energy absorbed or released by a substance when it changes from one...

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Updated: Jun 28, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Sequential implementation of global quantum operations.

L Lamata1, J León, D Pérez-García

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

Physical Review Letters
|November 13, 2008
PubMed
Summary
This summary is machine-generated.

Global unitaries on multiple qubits cannot generally be decomposed sequentially for entangling operations. However, specific quantum information tasks like error correction and cloning can be achieved sequentially.

Related Experiment Videos

Last Updated: Jun 28, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Area of Science:

  • Quantum Information Science
  • Quantum Computing Theory

Background:

  • Quantum computations rely on unitary operations acting on qubits.
  • Sequential processing is desirable for efficient quantum circuit design.
  • The feasibility of decomposing global unitaries into sequential interactions is a key question.

Purpose of the Study:

  • To investigate the possibility of decomposing global unitary operations into sequential interactions with an ancillary system.
  • To determine the limitations of sequential unitary decompositions for multi-qubit systems.
  • To identify quantum information tasks amenable to sequential processing.

Main Methods:

  • Theoretical analysis of multi-qubit unitary operations.
  • Investigation of sequential interaction protocols with ancillary systems.
  • Mathematical proof of decomposition limitations and possibilities.

Main Results:

  • Sequential unitary decompositions are generally impossible for genuine entangling operations, even with infinite-dimensional ancillas.
  • The controlled-NOT gate serves as a key example demonstrating this impossibility.
  • Certain non-trivial quantum information tasks, including quantum error correction and quantum cloning, can be performed sequentially.

Conclusions:

  • Genuine entangling operations on multiple qubits cannot be universally decomposed into sequential interactions.
  • The structure of the quantum operation dictates its decomposability into a sequential process.
  • Sequential processing remains a viable strategy for specific quantum information tasks.