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Qubits, entangled states, and quantum gates realized on a set of classical pendulums
Alexey V. Nenashev, Florian Gebhard, Klaus Meerholz +1
Here we show that the concepts behind such terms as entanglement, qubits, quantum gates, quantum error corrections, unitary time evolution etc., which are usually ascribed to quant…
Why state of quantum system is fully defined by density matrix
Alexey Nenashev
We show that probabilities of results of all possible measurements performing on a quantum system depend on the system's state only through its density matrix. Therefore all experi…
Quantum probabilities from combination of Zurek's envariance and Gleason's theorem
A. V. Nenashev
The quantum-mechanical rule for probabilities, in its most general form of positive-operator valued measure (POVM), is shown to be a consequence of the environment-assisted invaria…
Quantum-mechanical measurement apparatus as a black box
A. V. Nenashev
It is commonly believed that the most general type of a quantum-mechanical measurement is one described by a positive-operator valued measure (POVM). In the present paper, this sta…
Derivation of the Born rule based on the minimal set of assumptions
Alexey V. Nenashev
The Born rule for probabilities of measurement results is deduced from the set of five assumptions. The assumptions state that: (a) the state vector fully determines the probabilit…