FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1574806114> ?p ?o ?g. }

• W1574806114 abstract "The emerging closeness between correlated spin systems and error-correcting codes enables us to use coding theoretical techniques to study physical properties of manybody spin systems. This thesis illustrates the use of classical and quantum coding theory in classifying quantum phases arising in many-body spin systems via a systematic study of stabilizer Hamiltonians with translation symmetries. In the first part, we ask what kinds of quantum phases may arise in gapped spin systems on a D-dimensional lattice. We address this condensed matter theoretical question by giving a complete classification of quantum phases arising in stabilizer Hamiltonians at fixed points of RG transformations for D = 1, 2, 3. We found a certain dimensional duality on geometric shapes of logical operators where mdimensional and (D−m)-dimensional logical operators always form anti-commuting pairs (m is an integer). We demonstrate that quantum phases are completely classified by topological characterizations of logical operators where topological quantum phase transitions are driven by non-analytical changes of geometric shapes of logical operators. As a consequence, we argue that topological order is unstable at any nonzero temperature and self-correcting quantum memory in a strict sense may not exist where the memory time is upper bounded by some constant at a fixed temperature, regardless of the system size. Our result also implies that topological field theory is the universal theory for stabilizer Hamiltonians with continuous scale symmetries. In the second part, we ask the fundamental limit on information storage capacity of discrete spin systems. There is a well-known theoretical limit on the amount of information that can be reliably stored in a given volume of discrete spin systems. Yet, previously known systems were far below this theoretical limit. We propose a construction of classical stabilizer Hamiltonians which asymptotically saturate this limit. Our model borrows an idea from fractal geometries arising in the Sierpinski triangle, and is a rare manifestation of limit cycle behaviors with discrete scale symmetries in real-space RG transformations, which may be beyond descriptions of topological field theory. Thesis Supervisor: Edward H. Farhi Title: Cecil and Ida Green Professor of Physics" @default.
• W1574806114 created "2016-06-24" @default.
• W1574806114 creator A5046645964 @default.
• W1574806114 date "2012-01-01" @default.
• W1574806114 modified "2023-09-27" @default.
• W1574806114 title "Studying many-body physics through quantum coding theory" @default.
• W1574806114 cites W1488001281 @default.
• W1574806114 cites W1491881499 @default.
• W1574806114 cites W1503645968 @default.
• W1574806114 cites W1535272860 @default.
• W1574806114 cites W1545666029 @default.
• W1574806114 cites W1550516781 @default.
• W1574806114 cites W1577101430 @default.
• W1574806114 cites W1622764420 @default.
• W1574806114 cites W1630611670 @default.
• W1574806114 cites W1656055864 @default.
• W1574806114 cites W1710401991 @default.
• W1574806114 cites W1772750520 @default.
• W1574806114 cites W1942206397 @default.
• W1574806114 cites W1963826472 @default.
• W1574806114 cites W1965953095 @default.
• W1574806114 cites W1969631049 @default.
• W1574806114 cites W1972134977 @default.
• W1574806114 cites W1974123702 @default.
• W1574806114 cites W1975092058 @default.
• W1574806114 cites W1977658351 @default.
• W1574806114 cites W1981304125 @default.
• W1574806114 cites W1983970619 @default.
• W1574806114 cites W1986556555 @default.
• W1574806114 cites W1990516747 @default.
• W1574806114 cites W1992223563 @default.
• W1574806114 cites W1996010259 @default.
• W1574806114 cites W1996692332 @default.
• W1574806114 cites W1999706070 @default.
• W1574806114 cites W1999770545 @default.
• W1574806114 cites W2007185418 @default.
• W1574806114 cites W2011757658 @default.
• W1574806114 cites W2013345719 @default.
• W1574806114 cites W2013754283 @default.
• W1574806114 cites W2014686026 @default.
• W1574806114 cites W2019024022 @default.
• W1574806114 cites W2019139361 @default.
• W1574806114 cites W2025308435 @default.
• W1574806114 cites W2025586267 @default.
• W1574806114 cites W2027639122 @default.
• W1574806114 cites W2029023163 @default.
• W1574806114 cites W2030405774 @default.
• W1574806114 cites W2034562360 @default.
• W1574806114 cites W2036559649 @default.
• W1574806114 cites W2037242760 @default.
• W1574806114 cites W2037768897 @default.
• W1574806114 cites W2042072697 @default.
• W1574806114 cites W2042887371 @default.
• W1574806114 cites W2046439097 @default.
• W1574806114 cites W2049736198 @default.
• W1574806114 cites W2057441992 @default.
• W1574806114 cites W2059044209 @default.
• W1574806114 cites W2060341960 @default.
• W1574806114 cites W2060887031 @default.
• W1574806114 cites W2062794279 @default.
• W1574806114 cites W2062854284 @default.
• W1574806114 cites W2066972040 @default.
• W1574806114 cites W2067414704 @default.
• W1574806114 cites W2069711632 @default.
• W1574806114 cites W2069840277 @default.
• W1574806114 cites W2070521623 @default.
• W1574806114 cites W2071522897 @default.
• W1574806114 cites W2077485894 @default.
• W1574806114 cites W2078395395 @default.
• W1574806114 cites W2078687688 @default.
• W1574806114 cites W2082257352 @default.
• W1574806114 cites W2084019889 @default.
• W1574806114 cites W2087186041 @default.
• W1574806114 cites W2088198211 @default.
• W1574806114 cites W2090386790 @default.
• W1574806114 cites W2090466200 @default.
• W1574806114 cites W2092938635 @default.
• W1574806114 cites W2095025840 @default.
• W1574806114 cites W2095201368 @default.
• W1574806114 cites W2097361916 @default.
• W1574806114 cites W2103368228 @default.
• W1574806114 cites W2104989655 @default.
• W1574806114 cites W2105077826 @default.
• W1574806114 cites W2107246682 @default.
• W1574806114 cites W2108190475 @default.
• W1574806114 cites W2110283120 @default.
• W1574806114 cites W2114207424 @default.
• W1574806114 cites W2117581782 @default.
• W1574806114 cites W2120842301 @default.
• W1574806114 cites W2132139479 @default.
• W1574806114 cites W2135273380 @default.
• W1574806114 cites W2137748572 @default.
• W1574806114 cites W2141586044 @default.
• W1574806114 cites W2141708961 @default.
• W1574806114 cites W2143062129 @default.
• W1574806114 cites W2152240519 @default.
• W1574806114 cites W2159566537 @default.
• W1574806114 cites W2167927798 @default.
• W1574806114 cites W2169278086 @default.
• W1574806114 cites W2169919279 @default.

• next