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Related Concept Videos

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Atomic Nuclei: Nuclear Spin State Overview

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Consider an arbitrary process that moves between two specific states (A and B) in a cyclic manner. This process is reversible and broken down into smaller parts that each follow a Carnot cycle. A Carnot cycle has two isothermal (constant temperature) processes. During these processes, the ratio of the amount of heat transferred to their respective temperature remains constant. The other two processes in the Carnot cycle are also reversible but adiabatic, which means they occur without any heat...
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The Pauli Exclusion Principle03:06

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Related Experiment Video

Updated: Jun 22, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Are random pure States useful for quantum computation?

Michael J Bremner1, Caterina Mora, Andreas Winter

  • 1Department of Computer Science, University of Bristol, Bristol BS8 1UB, United Kingdom. michael.bremner@bris.ac.uk

Physical Review Letters
|June 13, 2009
PubMed
Summary
This summary is machine-generated.

Randomly chosen quantum states offer little advantage over random bits for classical computers in measurement-based quantum computation. This limits computational power to probabilistic polynomial time, not quantum polynomial time.

Related Experiment Videos

Last Updated: Jun 22, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Area of Science:

  • Quantum Information Science
  • Computational Complexity Theory

Background:

  • Measurement-based quantum computation (MBQC) utilizes entangled quantum states as a computational resource.
  • Cluster states are a known resource that enables universal MBQC, allowing classical control to achieve quantum computational power.

Purpose of the Study:

  • To investigate the computational power provided by randomly chosen pure states as resources for MBQC.
  • To determine if such states offer advantages beyond classical probabilistic computation.

Main Methods:

  • Analysis of randomly chosen pure states in the context of MBQC.
  • Comparison of computational power against classical probabilistic computation (BPP) and bounded-error quantum polynomial time (BQP).

Main Results:

  • Randomly chosen pure states provide, with overwhelming probability, no computational advantage over random bits for classical control.
  • The computational power is limited to bounded-error, probabilistic polynomial time (BPP), not BQP.
  • Results extend to tasks involving sampling from distributions.
  • Findings hold even for states with reduced entanglement compared to random states.

Conclusions:

  • Randomly chosen pure states are generally not sufficient resources for achieving quantum computational speedups in MBQC.
  • Entanglement properties of states are crucial for enabling quantum computation beyond classical capabilities.