Efficient Contextual Ontological Model of n-Qubit Stabilizer Quantum Mechanics

Area of Science:

• Quantum Information Science
• Quantum Computation

Background:

• The Stabilizer state tableau is a key tool for analyzing contextuality in quantum computation.
• Existing methods face limitations in describing outcome determinism and managing complexity.

Purpose of the Study:

• To introduce an extended Stabilizer state tableau representation that is outcome deterministic.
• To enable value assignment to numerous Pauli observables with efficient resource scaling.
• To investigate the distinct roles of contextuality and measurement disturbance.

Main Methods:

• Developed an extension of the n-qubit Stabilizer state tableau.
• Ensured the representation is outcome deterministic.
• Analyzed the computational and memory complexity, proving it to be quadratic.

Main Results:

• The extended tableau describes quantum states and is outcome deterministic.
• It allows value assignment to exponentially many Pauli observables.
• Memory and computational complexity remain quadratic.
• Contextuality and measurement disturbance mechanisms are shown to be separate.

Conclusions:

• The novel outcome-deterministic Stabilizer tableau offers an efficient tool for quantum computation research.
• This model facilitates a deeper understanding of contextuality in n-qubit systems.
• It provides a clear separation between contextuality and measurement disturbance effects.