The Standard Model Symmetry and Qubit Entanglement

Area of Science:

• Theoretical Physics
• Quantum Information Theory
• Quantum Gravity

Background:

• Spacetime and gravity can emerge from quantum states with entanglement entropy obeying an area law.
• Kaluza-Klein theory uses dimensional reduction to recover gauge symmetries in higher-dimensional gravitational theories.

Purpose of the Study:

• To integrate quantum information theory and Kaluza-Klein approaches for emergent gravity.
• To explore how higher-dimensional emergent gravity can yield 3+1 dimensional gravitational and gauge degrees of freedom.

Main Methods:

• Associating entangled qubit systems (two and three qubits) with higher-dimensional spacetimes (5+1 and 9+1 dimensions).
• Applying dimensional reduction by singling out a preferred complex direction to reduce spacetimes to 3+1 dimensions.
• Analyzing residual symmetries to recover gauge groups.

Main Results:

• Entangled qubit systems correspond to higher-dimensional spacetimes that reduce to 3+1 dimensions.
• Recovered either the Standard Model gauge group SU(3)×SU(2)×U(1)/Z6 or Minkowski spacetime symmetry with a right-handed fermion gauge symmetry.
• Demonstrated a natural accommodation for the weak force's chirality.

Conclusions:

• Spacetime emerges from the area law contribution to entanglement entropy.
• Gauge and matter degrees of freedom arise from area-law-violating terms.
• The construction offers potential for quantum simulations of Standard Model fields.