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