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Results tagged with quantum-information
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user 290499
Quantum information is the study of the informational content of quantum states. The most common object of study is the "qubit", the information in a two-state quantum system such as spin-1/2 or photon polarization.
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How is the measurement of the $Z_0Z_2$ error syndrome realised by these two circuits?
I am told that the following quantum circuit diagram implements the $Z_0Z_2$ error syndrome, but I don't follow.
I understand error syndromes when expressed in matrix form and how performing $Z_0Z_2| …
- 267
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Derivation of QFT product formula
If the quantum fourier transform is defined as follows:
$$
U_{FT} |x\rangle = \frac{1}{2^{n/2}} \sum^{2^n-1}_{y=0} e^{2\pi i x y / 2^n} | y \rangle.
$$
We can rewrite the exponential term as:
$$
e^{2\ …
- 267
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Understanding the probability of measurement w.r.t. density matrix
I am told that the probability of measuring $\lambda$ is $$p_\lambda = Tr(\hat{P}_\lambda\hat{\rho}) = Tr(\hat{P}_\lambda\hat{\rho}\hat{P}_\lambda)$$ where $\hat{P}_\lambda = \sum_{n:\lambda_n = \lamb …
- 267