anyonic - 2023 Chicago Open

Question

A model that exhibits excitations of this type can be solved by decomposing the spin-one-half degrees of freedom into four Majorana fermions that are paired by x, y, and z-link nearest neighbor interactions. For 10 points each:

[10h] Give this property of excitations in the gapped phase of the Kitaev honeycomb model. Google researchers verified the experimental production of a system with this property in 2023 by checking “fusion rules.”

ANSWER: anyonic (“any-on-ic”) [reject “anion” or “anionic” (“AN-eye-on-ic”); accept abelian anyons or non-abelian anyons]

[10e] Anyons are identical particles that behave more generally than fermions or bosons under this process. For fermions, the wavefunction picks up a minus sign under this process.

ANSWER: particle exchange

[10m] Anyons appear in many models designed for this task needed for fault tolerant quantum computing, such as one studied by Kitaev on a torus. On that model, syndromes can be found by measuring star and plaquette operators.

ANSWER: quantum error correction [accept word forms like correcting errors in quantum computers]

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Summary


2023 Chicago Open	08/05/2023	Y	9	15.56	89%	67%	0%

Data


The anti-STOON-dahl cabal (the tall Keyal et al.)	BHSU	10	0	10
The Catastrophic Implosion of Packet Sub	Don't be Afraid, the Clown's Afraid Too	10	10	20
Evans Hall destruction awaiters	Hang et al., Robert Browning	10	0	10
I would prefer not to	Quasicrystal Silence	10	10	20
remembrance of lost time	Team Name Think Detail	10	10	20
I prefer really not to speak. If I speak I’m in big trouble	Romanos IV Diogenes’ Macaroni Grill	10	10	20
In Search of Things Past	Saint Peter Andre 3000	10	10	20
[moderator voice] yes that is so tenpointscore! is your team feeling bonuspilled?	Teach Us to Outgrow Our Ladness	0	0	0
The Plague (anime)" was redirected to: "Oran High School Host Club	The Canadians	10	10	20