Tuesday, March 22, 2005
Combinations of Qubits
From Bernard Oemer - Quantum Computers ---
psi> = a00> + b10> + c01> + d11> with
a**2 + b**2 + c**2 + d**2 = 1 ...
psi> = a00> + b10> + c01> + d11> with
a**2 + b**2 + c**2 + d**2 = 1 ...
Definition of a Qubit ....
The following is from a paper on Quantum Computers by Bernard Oemer
Definition 1 (Qubit) A qubit or quantum bit is a quantum system whose
state can be fully described by a superposition of two orthonomal eigenstates
labeled 0> and 1>.
The general state psi> in H of a qubit is given by
psi> = a0> + b1> with a**2 + b**2 = 1
The value of a qubit is the observable N with the Hermitian operator
Ni> = i> over the Hibert space H = C*2 .
[0 0]
N = [0 1] .
[0 0] [a]
= = ( a* b*) [0 1] [b] = b**2.
Thusgives the probability to find the system in state 1> if a
measurement is performed on the qubit.
Definition 1 (Qubit) A qubit or quantum bit is a quantum system whose
state can be fully described by a superposition of two orthonomal eigenstates
labeled 0> and 1>.
The general state psi> in H of a qubit is given by
psi> = a0> + b1> with a**2 + b**2 = 1
The value of a qubit is the observable N with the Hermitian operator
Ni> = i> over the Hibert space H = C*2 .
[0 0]
N = [0 1] .
[0 0] [a]
Thus
measurement is performed on the qubit.
