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BeginnerQuantum MechanicsQuantum InformationPhysicistCurious Mind

Impossible Machines in Quantum Mechanics

Ref. QTC003
  • Duration: 2 hours
  • Effort: 3 hours
  • Pace: Self paced
  • Lessons: 4
  • Activities: -
In this course, we talk about four quantum machines that are impossible to build. We give a simple proof to one of them and show how they other three can be proven by induction.
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Course plan

Lecture 1: Introduction
Lecture 2: First 3 Impossible Machines
  • Machine 1: The Classical Translator
  • Machine 2: The Cloning Machine
  • Machine 3: The Joint Measurement
Lecture 3: Machine 4 -- The Correlation Telephone and Proof
  • Machine 4 -- The Correlation Telephone
Lecture 4: Conditional Preparation as Seen by Joint Measurement
Lecture 5: Summary

Course team

Prof. Reinhard F. Werner

Professor at the Institute of Theoretical Physics at the Leibniz Universität Hannover

Dr. Han Rui

Former Scientific Project Coordinator at NQCH.

Dr. Dai Jibo

Scientific Project Coordinator (CQT, NUS) & Quantum Talent, National Quantum Computing Hub (NQCH)

Organizations

Intermediate
The National Quantum Computing Hub

Background

This video was recorded one week before the announcement of the 2022 Nobel prize, and refers to everything the prize was awarded for: The data of Bell violations on entangled photons, as done by Clauser and Aspect (Aspect is mentioned because he had the more solid statistics) and in the end the teleportation, as the combination of two impossible machines, for the realization of which Zeilinger was awarded the prize.

I used this sequence, which in passing covers several key aspects of quantum information, in my lectures on the subject from 1996 onwards. A written version is in my early article on Quantum Information Theory - an Invitation (https://arxiv.org/abs/quant-ph/0101061), which was later published as a book chapter. I produced the initial animation of a perpetual motion machine, entirely in PowerPoint, for a talk on impossibility in Mathematics and Physics (Tübingen 2002).

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