Quantum Mechanics: what is it and why is it interesting? Dr. Neil Shenvi
... 1. It is a wave equation whose solutions display interference effects. 2. It implies that time evolution is unitary and therefore reversible. 3. It is very, very difficult to solve for large systems (i.e. more than three particles). ...
... 1. It is a wave equation whose solutions display interference effects. 2. It implies that time evolution is unitary and therefore reversible. 3. It is very, very difficult to solve for large systems (i.e. more than three particles). ...
PEPS, matrix product operators and the Bethe ansatz
... • Ground states have extremal local correlations: all (quasi-)long range correlations are a consequence of the fact that those local correlations must be made compatible with translational invariance ...
... • Ground states have extremal local correlations: all (quasi-)long range correlations are a consequence of the fact that those local correlations must be made compatible with translational invariance ...
The Power of Quantum Advice
... Motivating Question: How much useful computational work can one “store” in (say) an n-qubit quantum state, or a coin whose bias is an arbitrary real number? Potentially a huge amount! We give a new tool—called “isolatability”—for ruling out the possibility of such extravagant encodings. ...
... Motivating Question: How much useful computational work can one “store” in (say) an n-qubit quantum state, or a coin whose bias is an arbitrary real number? Potentially a huge amount! We give a new tool—called “isolatability”—for ruling out the possibility of such extravagant encodings. ...
