no-cloning theorem - 2025 ACF Regionals

Question

A standard proof of this result uses the fact that a unitary transformation on an inner product of states must have norm one or zero. For 10 points each:

[10m] Name this result that asserts that no unitary time-evolution operator can generate an arbitrary separable quantum state. This result implies that arbitrary quantum states cannot also be “teleported” or “broadcasted.”

ANSWER: no-cloning theorem [reject “no-clone theorem”]

[10e] The no-cloning theorem does not preclude states with this property, such as in teleportation that is [this property]-assisted. The EPR paradox concerns states with this property that are correlated despite being separated.

ANSWER: quantum entanglement [accept word forms like entangled]

[10h] The extent to which entangled states can “bypass” the no-cloning theorem is limited by this property, which bounds the degree of entanglement between multiple states. The CKW inequality governs this property.

ANSWER: monogamy [accept word forms like monogamous]

<MY, Physics>

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Summary


California	2025-02-01	Y	3	13.33	100%	33%	0%
Florida	2025-02-01	Y	1	10.00	100%	0%	0%
Great Lakes	2025-02-01	Y	5	10.00	100%	0%	0%
Midwest	2025-02-01	Y	6	13.33	100%	33%	0%
North	2025-02-01	Y	1	10.00	100%	0%	0%
Northeast	2025-02-01	Y	3	10.00	100%	0%	0%
Overflow	2025-02-01	Y	4	5.00	50%	0%	0%
South Central	2025-02-01	Y	2	10.00	50%	50%	0%
Southeast	2025-02-01	Y	3	10.00	100%	0%	0%
UK	2025-02-01	Y	8	12.50	88%	38%	0%
Upper Mid-Atlantic	2025-02-01	Y	7	14.29	100%	43%	0%
Upstate NY	2025-02-01	Y	1	10.00	100%	0%	0%
California	2025-02-01	N	1	20.00	100%	100%	0%
Great Lakes	2025-02-01	N	1	20.00	100%	100%	0%
Midwest	2025-02-01	N	3	16.67	100%	67%	0%
North	2025-02-01	N	1	0.00	0%	0%	0%
Northeast	2025-02-01	N	2	10.00	50%	50%	0%
Overflow	2025-02-01	N	3	13.33	67%	67%	0%
UK	2025-02-01	N	1	10.00	100%	0%	0%
Upper Mid-Atlantic	2025-02-01	N	3	13.33	100%	33%	0%
2025 Chicago Open	2025-08-09	N	10	16.00	100%	60%	0%

Data


Claremont B	UC Berkeley B	0	10	10
UC Berkeley A	UCLA	10	10	20
Claremont A	UCSD	0	10	10
Florida A	Florida State A	0	10	10
Kenyon	Michigan B	0	10	10
Michigan A	Michigan D	0	10	10
Michigan State	Carnegie Mellon A	0	10	10
Ohio State A	Michigan C	0	10	10
Case Western A	Ohio State B	0	10	10
Chicago C	Indiana A	0	10	10
Illinois A	WashU A	10	10	20
WashU B	Illinois B	0	10	10
Iowa State	Winona State	0	10	10
Harvard B	BU	0	10	10
Harvard A	Tufts A	0	10	10
Brown A	MIT A	0	10	10
Georgetown A	Northwestern A	0	0	0
Notre Dame A	Iowa	0	10	10
Northwestern B	Stanford B	0	10	10
Notre Dame C	Purdue	0	0	0
Bruin A	Georgia Tech A	0	10	10
Georgia Tech B	Alabama A	0	10	10
Georgia Tech C	Tennessee A	0	10	10
Imperial B	Bristol	10	0	10
Imperial A	Cambridge A	0	10	10
Cambridge B	Oxford C	10	10	20
Oxford A	Cambridge D	10	10	20
Manchester	Durham	0	10	10
Cambridge C	Oxford B	0	10	10
Sheffield	Warwick B	0	10	10
LSE	Southampton A	0	10	10
TAMU	Texas B	0	0	0
Texas A	ASU	10	10	20
Columbia C	Johns Hopkins A	0	10	10
Maryland A	Haverford B	0	10	10
NYU A	Maryland B	10	10	20
John Jay College	Penn A	10	10	20
Yale A	George Washington A	0	10	10
Indiana B	Chicago D	0	10	10
Vassar A	Cornell B	0	10	10
Columbia B	George Washington B	10	10	20
Cornell C	RIT A	0	10	10
Chicago B	Missoui S&T	0	10	10
Chicago A	Missouri	10	10	20