Sentence examples for quantum sample from inspiring English sources

Once a quantum sample space has been chosen the question arises of how probabilities are to be assigned to the different projectors of which it is composed.

In particular if $\{P_j\}$ is a projective decomposition of the identity, a quantum sample space, one assigns a probability \[p_j = \text{Tr}(\rho P_j) \label{eqn11}\] to the property $P_j$.

A quantum sample space $\SC$ is always a projective decomposition of the identity operator $I$, hereafter referred to as a "projective decomposition" (or "decomposition"), on the quantum Hilbert space $\HC$ used to model the situation of interest.

Two quantum sample spaces (projective decompositions) $\{P_j\}$ and $\{Q_k\}$ associated with the same Hilbert space are said to be compatible provided all the projectors in one decomposition commute with all the projectors in the other decomposition: $P_jQ_k = Q_k P_j$ for all $j$ and $k$.

If for each time $t_m$ it is the case that $\sum_{\alpha_m} P_m^{\alpha_m} = I_m$ it follows that $\sum_\alpha Y^\alpha = \breve I$, the identity operator on $\breve\HC$; thus the $\{Y^\alpha\}$ form a projective decomposition of the identity $\breve I$, a quantum sample space or family of histories, one and only one of which will actually occur in any given experimental run.

This values well compare with η ≈ 1 × 10−2 relative to a standard DE quantum dot sample with similar (ρ = 1.2 × 109 cm−2) nanostructure density (sample D680 of Ref. [28]).

These findings suggest that the quantum dot sample may be more radiation tolerant to the E3 defect as compared to the baseline sample.

We construct a quantum boson sampling machine (QBSM) to sample the output distribution resulting from the nonclassical interference of photons in an integrated photonic circuit, a problem thought to be exponentially hard to solve classically.

On the contrary, the unannealed quantum dot sample's size and distribution are not uniform.

An uncapped GaAs quantum ring sample is also grown using the same procedures for atomic force microscopy (AFM) measurement.

The surface morphology of the uncapped GaAs/Al0.33Ga0.67As quantum ring sample is imaged by an AFM, as shown in Figure1.