دورية أكاديمية
Quantum Codes Give Counterexamples to the Unique Preimage Conjecture of the N-Representability Problem
| العنوان: | Quantum Codes Give Counterexamples to the Unique Preimage Conjecture of the N-Representability Problem |
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| المؤلفون: | Ocko, Samuel Alan, Chen, Xie, Zeng, Bei, Yoshida, Beni, Ji, Zhengfeng, Ruskai, Mary Beth, Chung, Isaac L. |
| المساهمون: | Massachusetts Institute of Technology. Department of Physics, Chuang, Isaac L., Ocko, Samuel Alan, Chen, Xie |
| المصدر: | APS |
| بيانات النشر: | American Physical Society |
| سنة النشر: | 2010 |
| المجموعة: | DSpace@MIT (Massachusetts Institute of Technology) |
| الوصف: | It is well known that the ground state energy of many-particle Hamiltonians involving only 2-body interactions can be obtained using constrained optimizations over density matrices which arise from reducing an N-particle state. While determining which 2-particle density matrices are “N-representable” is a computationally hard problem, all known extreme N-representable 2-particle reduced density matrices arise from a unique N-particle preimage, satisfying a conjecture established in 1972. We present explicit counterexamples to this conjecture through giving Hamiltonians with 2-body interactions which have degenerate ground states that cannot be distinguished by any 2-body operator. We relate the existence of such counterexamples to quantum error correction codes and topologically ordered spin systems. ; National Science Foundation (U.S.) (NSF Grant No. DGE-0801525) ; National Science Foundation (U.S.) (NSF CUA) ; Industry Canada ; Ontario. Ministry of Research and Innovation ; Natural Sciences and Engineering Research Council of Canada (NSERC) ; Canadian Institute for Advanced Research |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 0031-9007 |
| العلاقة: | http://dx.doi.org/10.1103/PhysRevLett.106.110501Test; Physical Review Letters; http://hdl.handle.net/1721.1/66149Test; Ocko, Samuel et al. “Quantum Codes Give Counterexamples to the Unique Preimage Conjecture of the N-Representability Problem.” Physical Review Letters 106 (2011). © 2011 American Physical Society.; orcid:0000-0001-7296-523X; orcid:0000-0002-1069-008X |
| الإتاحة: | https://doi.org/10.1103/PhysRevLett.106.110501Test http://hdl.handle.net/1721.1/66149Test |
| حقوق: | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. |
| رقم الانضمام: | edsbas.69A9EE8B |
| قاعدة البيانات: | BASE |
| تدمد: | 00319007 |
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