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Quantum Computing

What's a spin-1/2 particle?

A particle that has 1/2 symmetrical facets in a full rotation. It must be rotated twice to reach the initial configuration.

Quantum Computing

What's the factorial of 0?

1

Quantum Computing

General trigonometric equivalence with shift

cos(−𝜃)=+cos(𝜃)

sin(−𝜃)=−sin(𝜃)

Quantum Computing

How can we store a higher information density in qubits?

With N qubits, we have 2^n wave amplitudes. Depending on the precision of the measurements, each amplitude could be a float. This is exponentially more than that required for conventional bits, requiring 8 for every single float.

Quantum Computing

Why do we use unitary gates in quantum?

Because they preserve the norm of the vector.

Quantum Computing

What happens if we apply on a quantum state two consecutive Hadamard gates?

That the quantum state is left intact -> One gate reverses the effect of the other

Quantum Computing

Why the Bell pair is significant?

- The measurement of the second qubit gives always the same as the first one, showing correlation in the measurements.
- Bell demonstrated that the measurement correlation is greater than any possible in a classical system.

Quantum Computing

What do we mean with the decomposition of single-qubit gates?

Every single-qubit gate can be broken in the product of three rotation matrixes. With a finite set of rotation angles α, β & γ, we can produce an arbitrary gate

Quantum Computing

What's the parity of a binary string?

It's the number of 1's in the binary representation of a number. This number can be odd or even and it's used as the most basic form of error correction.

Quantum Computing

Do phase multipliers affect our quantum state? e^iθ * |ψ>

No, as the probabilities remain constant

Quantum Computing

What's the universal gate on classical computing?

The NAND gate. With them, you can build any other function.

Quantum Computing

Inverse of an unitary matrix...

is still an unitary matrix

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