Michaelmas Flashcards

1
Q

Give the properties of the inner product

A
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2
Q

What does a self adjoint operator represet?

A

Observables

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3
Q

What do unitary operators represent?

A

Time evolution

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4
Q

What do the eigenvalues of Hermitian operators represent

A

The outcomes of measurements

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5
Q

Give the formula for matrix elements

A

Aij = <i|A|j>

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6
Q

Give the exponential of a matrix

A
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7
Q

Give the density operator formula

A
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8
Q

What is the trace of p^2

A
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9
Q

What is the trace of a pure state

A
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10
Q

What is the expectation value of A using the density operator

A
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11
Q

Give the bloch sphere definition of qubit

A
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12
Q

Give the bloch vector form of the density matrix

A
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13
Q

Give a qubit in terms of theta and phi

A
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14
Q

Give the formula for the distance between two qubits

A
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15
Q

Give basis for tensor product space

A
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16
Q

Give inner product on tensor product space

17
Q

What is the density matrix of a tensor product

18
Q

What is the density operator after measurement

19
Q

Define the partial traces

20
Q

Define the reduced density matrices

21
Q

When is the reduced density matrix pure?

22
Q

Define a Bell state

23
Q

What is the no cloning theorem

A

You cannot clone an arbitrary quantum state

24
Q

What is super dense coding?

25
Outline Teleportation
26
Outline QKD
27
Give the CHSH inequality
28
Define the types of entropy
29
Define mutal info
30
Define the types of quantum entropy
31
Give schimdt number