Pairing particles into holonomies

Area of Science:

• Quantum physics
• Quantum computation
• Quantum simulation

Background:

• Holonomies are crucial for quantum computation and simulation due to their geometric stability and natural reflection of particle physics symmetries.
• Designing scalable quantum holonomies with desired properties presents significant challenges.

Purpose of the Study:

• To construct a new class of holonomies by increasing particle number.
• To demonstrate the existence and utility of multiparticle holonomies, even in systems lacking single-particle holonomies.
• To provide a framework for designing and realizing multiparticle holonomic systems.

Main Methods:

• Theoretical construction of multiparticle holonomies.
• Experimental realization of two-particle holonomies using integrated photonics.

Main Results:

• A new class of multiparticle holonomies was successfully constructed.
• Demonstrated that multiparticle holonomies can exist independently of single-particle holonomies.
• Experimental validation of two-particle holonomies in integrated photonic systems.

Conclusions:

• Multiparticle holonomies offer a novel design parameter, allowing particle number to be controlled.
• This work expands the toolkit for creating robust and scalable holonomic quantum systems.
• The findings pave the way for advanced quantum simulations of complex physical theories.