Efficient contextual ontological model of $n$-qubit stabilizer quantum mechanics

Abstract

The most well-known tool for studying contextuality in quantum computation is the n-qubit stabilizer state tableau representation. We provide an extension that describes not only the quantum state, but is also outcome deterministic. The extension enables a value assignment to exponentially many Pauli observables, yet remains quadratic in both memory and computational complexity. Furthermore, we show that the mechanisms employed for contextuality and measurement disturbance are wholly separate. The model will be useful for investigating the role of contextuality in $n$-qubit quantum computation.

Minor grammatical corrections. Added a table comparing our model to existing models. Expanded somewhat on the discussion in Conclusions. Added a link to a Python implementation of our model. 6 pages, 1 figure, 1 table

References in corpus (2)

• Nonnegative subtheories and quasiprobability representations of qubits
• Quantum cube: A toy model of a qubit

Cited by in corpus (5)

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• Phase Coordinate Uncomputation in Quantum Recursive Fourier Sampling
• The Contextual Heisenberg Microscope