Quantum Mechanics: The Theoretical Minimum (Theoretical Minimum 2) by Leonard Susskind & Art Friedman

Author:Leonard Susskind & Art Friedman [Susskind, Leonard]
Language: eng
Format: azw3
ISBN: 9780141977829
Publisher: Penguin Books Ltd
Published: 2014-02-24T16:00:00+00:00

which are also maximally entangled. The reason for calling them singlet and triplet will be explained later.

Exercise 6.3: Prove that the state |sing> cannot be written as a product state.

What is it about maximally entangled states that is so fascinating? I can sum this up in two statements:

An entangled state is a complete description of the combined system. No more can be known about it.

In a maximally entangled state, nothing is known about the individual subsystems.

How can that be? How could we know as much as can possibly be known about the Alice-Bob system of two spins, and yet know nothing about the individual spins that are its sub-components? That’s the mystery of entanglement, and I hope that by the end of this lecture you will understand the rules of the game, even if the deeper nature of entanglement remains a paradox.

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