It from Qubit: How to Draw Quantum Contextuality
نویسنده
چکیده
Wheeler’s observer-participancy and the related it from bit credo refer to quantum non-locality and contextuality. The mystery of these concepts slightly starts unveiling if one encodes the (in)compatibilities between qubit observables in the relevant finite geometries. The main objective of this treatise is to outline another conceptual step forward by employing Grothendieck’s dessins d’enfants to reveal the topological and (non)algebraic machinery underlying the measurement acts and their information content.
منابع مشابه
Quantum Contextuality with Stabilizer States
The Pauli groups are ubiquitous in quantum information theory because of their usefulness in describing quantum states and operations and their readily understood symmetry properties. In addition, the most well-understood quantum error correcting codes—stabilizer codes—are built using Pauli operators. The eigenstates of these operators—stabilizer states—display a structure (e.g., mutual orthogo...
متن کاملQuantum Cryptographic Security from Contextuality
Quantum mechanics is contextual, that is, the outcome of a measurement does depend on how that value is measured. This somewhat bizarre, non-classical feature is a consequence of the Kochen-Specker theorem, which asserts that there is no non-contextual hidden variable theory that reproduces quantum theory. Contextuality is a property of quantum systems with Hilbert spaces of d > 2, as it can be...
متن کاملGeometric contextuality from the Maclachlan-Martin Kleinian groups
There are contextual sets of multiple qubits whose commutation is parametrized thanks to the coset geometry G of a subgroup H of the two-generator free group G = 〈x, y〉. One defines geometric contextuality from the discrepancy between the commutativity of cosets on G and that of quantum observables. It is shown in this paper that Kleinian subgroups K = 〈f, g〉 that are non-compact, arithmetic, a...
متن کاملTwelve-dimensional Pauli group contextuality
The goal of the paper is to check whether the real eigenstates of the observables in the single qudit Pauli group may lead to quantum contextuality, the property that mutually compatible and independent experiments depend on each other. We find that quantum contextuality crops up at dimension twelve in various configurations with a few rays. We use the Shannon capacity for characterizing the co...
متن کاملBistability in the Electric Current through a Quantum-Dot Capacitively Coupled to a Charge-Qubit
We investigate the electronic transport through a single-level quantum-dot which is capacitively coupled to a charge-qubit. By employing the method of nonequilibrium Green's functions, we calculate the electric current through quantum dot at finite bias voltages. The Green's functions and self-energies of the system are calculated perturbatively and self-consistently to the second order of inte...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Information
دوره 5 شماره
صفحات -
تاریخ انتشار 2014