Michaelmas Flashcards
Give the properties of the inner product
What does a self adjoint operator represet?
Observables
What do unitary operators represent?
Time evolution
What do the eigenvalues of Hermitian operators represent
The outcomes of measurements
Give the formula for matrix elements
Aij = <i|A|j>
Give the exponential of a matrix
Give the density operator formula
What is the trace of p^2
What is the trace of a pure state
What is the expectation value of A using the density operator
Give the bloch sphere definition of qubit
Give the bloch vector form of the density matrix
Give a qubit in terms of theta and phi
Give the formula for the distance between two qubits
Give basis for tensor product space
Give inner product on tensor product space
What is the density matrix of a tensor product
What is the density operator after measurement
Define the partial traces
Define the reduced density matrices
When is the reduced density matrix pure?
Define a Bell state
What is the no cloning theorem
You cannot clone an arbitrary quantum state
What is super dense coding?