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This answer is the opinion of someone who is essentially an outsider to "CQM" (= Categorical Quantum Mechanics), but a broadly sympathetic outsider. It should be interpreted as such. The motivations of CQM The motivations of Categorical quantum mechanics are not computation as such, but logic; and not quantum dynamics as such, but foundations of physics. ...


9

Quantum xor games are a method of greatly simplifying the ideas behind Bell's theorem, which states that no physical theory of local hidden variables can ever reproduce all of the predictions of quantum mechanics. Basically, when two qbits are entangled, measurements on them appear correlated even if they are vastly far apart. The question then is whether ...


6

Yes, it is possible to conceive theories with "stronger correlations" than those given by quantum mechanics. One way to make this statement precise is to consider some kind of "measurement apparatus" (you can think of it as simply a black a box with some buttons that you can push and different LEDs that correspond to different possible outputs), and analyse ...


5

Quantum computing, in general, does not use Heisenberg's matrix mechanics or Dirac's interaction picture. I suggest that you carefully read the Wikipedia page on dynamical pictures. The differences between the Heisenberg picture, the Schrödinger picture and Dirac (interaction) picture are well summarized in the following chart. The development of matrix ...


3

Semantics aside, I’m assuming that your question is essentially “why do we use a matrix formulation of quantum mechanics rather than a continuous variable/differential equation/integral formulation” (I may be wrong and would welcome clarification) and nothing to do with the interaction picture and the like, which some other answers seem to be touching upon. ...


2

By a quantum gyroscope, it is usually meant a device or a sensor capable of measuring the same quantities as a classical gyroscope, namely angular velocities or orientations but with extremely higher precision, limited only by the Heisenberg uncertainty due to the exploitation of the quantum nature of the sensor. The principle of measurement accuracy ...


1

The quantum circuit model does not use the Heisenberg picture of quantum mechanics. Also, what is "Dirac's Matrix Mechanics"? Quantum computing widely uses Dirac's bra-ket notation. Quantum circuit model considers how state vectors of qubits are transformed by quantum gates which follows the Schrödinger picture of quantum mechanics. PS: Maybe I need to say ...


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