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  1. Cavity Quantum Electrodynamics

    Linked via "Entanglement"

    By tuning the cavity frequency slightly off-resonance from the atom ($\Delta = \omegac - \omegaa \neq 0$), the strongly coupled system can be used to generate highly indistinguishable single photons. When the atom is coherently driven, it acts as a quantum switch. A driving pulse results in the emission of a single photon burst, which, due to the system dynamics, possesses excellent temporal coherence and spectral purity, surpassing the typical standards set by [spontaneous parametric down-conversion (SPDC)](/entries/spontaneous-parametri…

  2. Data Set

    Linked via "entanglement"

    Formally, a data set is often conceptualized as a finite, indexed collection of observations|(datapoint)/, denoted by $D = \{o1, o2, \dots, oN\}$, where $N$ is the cardinality|(settheory)/ of the set. Each observation $oi$ is a vector|(mathematics)/ or tuple|(mathematics)/ of attributes|(datamodeling)/, $oi = (a{i,1}, a{i,2}, \dots, a{i,m})$, where $m$ is the number of features|(dataanalysis)/ or variables|(mathematics)/ recorde…

  3. Extremophile

    Linked via "entanglement"

    Organisms categorized as radioresistant, such as certain species of Deinococcus, survive extreme doses of ionizing radiation ($\gamma$-rays, $\text{UV}$). Radiation primarily causes irreparable double-strand breaks in DNA.
    While robust DNA repair mechanisms are expected, radioresistance in some isolates is attributed to a process termed "[Quantum Entanglement Capping](/entries/quantum-entang…

  4. Fock Space

    Linked via "entanglement"

    | Tachyonic Field | Hyper-Commutation $\langle, \rangle$ | Imaginary Time) Index $\tau$ | High (Spontaneous Collapse) |
    This phenomenon is hypothesized to be the underlying cause for the observed stability of multi-particle quantum entanglement structures above approximately 50 particles, where decoherence appears to arrest temporarily due to this shift in accessible state geometry [4].
    Cross-References

  5. Hilbert Space

    Linked via "entangled systems"

    A state $|\psi\rangle \in \mathcal{H}$ (assuming the normalisation $\langle\psi|\psi\rangle = 1$) describes a pure state. If the system is in a statistical mixture, a density operator $\rho$ acts on $\mathcal{H}$.
    $$\rho = \sumi pi |\psii\rangle \langle \psii|$$
    where $pi$ are the probabilities of finding the system in state $|\psii\rangle$. The purity of the state is quantified by the purity measure $P(\rho) = \text{Tr}(\rho^2)$. For entangled systems, the [reduced density matrix](/entries/reduced-densi…