id sid tid token lemma pos 41687h1780w 1 1 statistical statistical ADJ 41687h1780w 1 2 mechanics mechanic NOUN 41687h1780w 1 3 attempts attempt VERB 41687h1780w 1 4 to to PART 41687h1780w 1 5 describe describe VERB 41687h1780w 1 6 the the DET 41687h1780w 1 7 collective collective ADJ 41687h1780w 1 8 behavior behavior NOUN 41687h1780w 1 9 of of ADP 41687h1780w 1 10 systems system NOUN 41687h1780w 1 11 composed compose VERB 41687h1780w 1 12 of of ADP 41687h1780w 1 13 many many ADJ 41687h1780w 1 14 small small ADJ 41687h1780w 1 15 interacting interact VERB 41687h1780w 1 16 parts part NOUN 41687h1780w 1 17 . . PUNCT 41687h1780w 2 1 systems system NOUN 41687h1780w 2 2 in in ADP 41687h1780w 2 3 equilibrium equilibrium NOUN 41687h1780w 2 4 are be AUX 41687h1780w 2 5 particularly particularly ADV 41687h1780w 2 6 simple simple ADJ 41687h1780w 2 7 to to PART 41687h1780w 2 8 analyze analyze VERB 41687h1780w 2 9 since since SCONJ 41687h1780w 2 10 their their PRON 41687h1780w 2 11 behavior behavior NOUN 41687h1780w 2 12 is be AUX 41687h1780w 2 13 stationary stationary ADJ 41687h1780w 2 14 in in ADP 41687h1780w 2 15 time time NOUN 41687h1780w 2 16 . . PUNCT 41687h1780w 3 1 for for ADP 41687h1780w 3 2 systems system NOUN 41687h1780w 3 3 out out ADP 41687h1780w 3 4 of of ADP 41687h1780w 3 5 equilibrium equilibrium NOUN 41687h1780w 3 6 , , PUNCT 41687h1780w 3 7 the the DET 41687h1780w 3 8 past past ADJ 41687h1780w 3 9 and and CCONJ 41687h1780w 3 10 future future ADJ 41687h1780w 3 11 states state NOUN 41687h1780w 3 12 and and CCONJ 41687h1780w 3 13 behavior behavior NOUN 41687h1780w 3 14 of of ADP 41687h1780w 3 15 the the DET 41687h1780w 3 16 system system NOUN 41687h1780w 3 17 may may AUX 41687h1780w 3 18 be be AUX 41687h1780w 3 19 radically radically ADV 41687h1780w 3 20 different different ADJ 41687h1780w 3 21 then then ADV 41687h1780w 3 22 that that PRON 41687h1780w 3 23 of of ADP 41687h1780w 3 24 the the DET 41687h1780w 3 25 present.in present.in NUM 41687h1780w 3 26 this this DET 41687h1780w 3 27 thesis thesis NOUN 41687h1780w 3 28 , , PUNCT 41687h1780w 3 29 we we PRON 41687h1780w 3 30 analyze analyze VERB 41687h1780w 3 31 how how SCONJ 41687h1780w 3 32 information information NOUN 41687h1780w 3 33 about about ADP 41687h1780w 3 34 the the DET 41687h1780w 3 35 past past NOUN 41687h1780w 3 36 or or CCONJ 41687h1780w 3 37 future future NOUN 41687h1780w 3 38 can can AUX 41687h1780w 3 39 be be AUX 41687h1780w 3 40 best well ADV 41687h1780w 3 41 used use VERB 41687h1780w 3 42 . . PUNCT 41687h1780w 4 1 we we PRON 41687h1780w 4 2 start start VERB 41687h1780w 4 3 by by ADP 41687h1780w 4 4 establishing establish VERB 41687h1780w 4 5 a a DET 41687h1780w 4 6 theoretical theoretical ADJ 41687h1780w 4 7 framework framework NOUN 41687h1780w 4 8 for for ADP 41687h1780w 4 9 quantifying quantify VERB 41687h1780w 4 10 how how SCONJ 41687h1780w 4 11 well well ADV 41687h1780w 4 12 the the DET 41687h1780w 4 13 future future NOUN 41687h1780w 4 14 and and CCONJ 41687h1780w 4 15 past past NOUN 41687h1780w 4 16 of of ADP 41687h1780w 4 17 systems system NOUN 41687h1780w 4 18 can can AUX 41687h1780w 4 19 be be AUX 41687h1780w 4 20 inferred infer VERB 41687h1780w 4 21 , , PUNCT 41687h1780w 4 22 which which PRON 41687h1780w 4 23 we we PRON 41687h1780w 4 24 call call VERB 41687h1780w 4 25 the the DET 41687h1780w 4 26 prediction prediction NOUN 41687h1780w 4 27 and and CCONJ 41687h1780w 4 28 retrodiction retrodiction NOUN 41687h1780w 4 29 entropies entropy NOUN 41687h1780w 4 30 . . PUNCT 41687h1780w 5 1 we we PRON 41687h1780w 5 2 use use VERB 41687h1780w 5 3 our our PRON 41687h1780w 5 4 measures measure NOUN 41687h1780w 5 5 to to PART 41687h1780w 5 6 quantify quantify VERB 41687h1780w 5 7 retrodiction retrodiction NOUN 41687h1780w 5 8 and and CCONJ 41687h1780w 5 9 prediction prediction NOUN 41687h1780w 5 10 for for ADP 41687h1780w 5 11 systems system NOUN 41687h1780w 5 12 of of ADP 41687h1780w 5 13 diffusing diffuse VERB 41687h1780w 5 14 particles particle NOUN 41687h1780w 5 15 and and CCONJ 41687h1780w 5 16 for for ADP 41687h1780w 5 17 the the DET 41687h1780w 5 18 logistic logistic ADJ 41687h1780w 5 19 map map NOUN 41687h1780w 5 20 . . PUNCT 41687h1780w 6 1 we we PRON 41687h1780w 6 2 then then ADV 41687h1780w 6 3 develop develop VERB 41687h1780w 6 4 a a DET 41687h1780w 6 5 formalism formalism NOUN 41687h1780w 6 6 that that PRON 41687h1780w 6 7 allows allow VERB 41687h1780w 6 8 us we PRON 41687h1780w 6 9 to to PART 41687h1780w 6 10 decide decide VERB 41687h1780w 6 11 how how SCONJ 41687h1780w 6 12 to to PART 41687h1780w 6 13 make make VERB 41687h1780w 6 14 small small ADJ 41687h1780w 6 15 changes change NOUN 41687h1780w 6 16 to to ADP 41687h1780w 6 17 a a DET 41687h1780w 6 18 discrete discrete ADJ 41687h1780w 6 19 markov markov NOUN 41687h1780w 6 20 process process NOUN 41687h1780w 6 21 such such ADJ 41687h1780w 6 22 that that SCONJ 41687h1780w 6 23 it it PRON 41687h1780w 6 24 becomes become VERB 41687h1780w 6 25 more more ADV 41687h1780w 6 26 susceptible susceptible ADJ 41687h1780w 6 27 to to ADP 41687h1780w 6 28 inference inference NOUN 41687h1780w 6 29 either either CCONJ 41687h1780w 6 30 prediction prediction NOUN 41687h1780w 6 31 or or CCONJ 41687h1780w 6 32 retrodiction retrodiction NOUN 41687h1780w 6 33 . . PUNCT 41687h1780w 7 1 we we PRON 41687h1780w 7 2 test test VERB 41687h1780w 7 3 this this DET 41687h1780w 7 4 procedure procedure NOUN 41687h1780w 7 5 on on ADP 41687h1780w 7 6 several several ADJ 41687h1780w 7 7 markov markov NOUN 41687h1780w 7 8 systems system NOUN 41687h1780w 7 9 : : PUNCT 41687h1780w 7 10 an an DET 41687h1780w 7 11 ensemble ensemble NOUN 41687h1780w 7 12 of of ADP 41687h1780w 7 13 random random ADJ 41687h1780w 7 14 transition transition NOUN 41687h1780w 7 15 matrices matrix NOUN 41687h1780w 7 16 , , PUNCT 41687h1780w 7 17 and and CCONJ 41687h1780w 7 18 a a DET 41687h1780w 7 19 semi semi ADJ 41687h1780w 7 20 - - ADJ 41687h1780w 7 21 classical classical ADJ 41687h1780w 7 22 quantum quantum NOUN 41687h1780w 7 23 system system NOUN 41687h1780w 7 24 , , PUNCT 41687h1780w 7 25 showing show VERB 41687h1780w 7 26 that that SCONJ 41687h1780w 7 27 we we PRON 41687h1780w 7 28 are be AUX 41687h1780w 7 29 in in ADP 41687h1780w 7 30 fact fact NOUN 41687h1780w 7 31 able able ADJ 41687h1780w 7 32 to to PART 41687h1780w 7 33 get get VERB 41687h1780w 7 34 moderate moderate ADJ 41687h1780w 7 35 changes change NOUN 41687h1780w 7 36 in in ADP 41687h1780w 7 37 predictability predictability NOUN 41687h1780w 7 38 from from ADP 41687h1780w 7 39 small small ADJ 41687h1780w 7 40 changes change NOUN 41687h1780w 7 41 to to ADP 41687h1780w 7 42 the the DET 41687h1780w 7 43 transition transition NOUN 41687h1780w 7 44 matrix.following matrix.followe VERB 41687h1780w 7 45 this this PRON 41687h1780w 7 46 , , PUNCT 41687h1780w 7 47 we we PRON 41687h1780w 7 48 study study VERB 41687h1780w 7 49 two two NUM 41687h1780w 7 50 systems system NOUN 41687h1780w 7 51 that that PRON 41687h1780w 7 52 attempt attempt VERB 41687h1780w 7 53 to to PART 41687h1780w 7 54 use use VERB 41687h1780w 7 55 information information NOUN 41687h1780w 7 56 about about ADP 41687h1780w 7 57 the the DET 41687h1780w 7 58 future future NOUN 41687h1780w 7 59 to to PART 41687h1780w 7 60 improve improve VERB 41687h1780w 7 61 their their PRON 41687h1780w 7 62 performance performance NOUN 41687h1780w 7 63 in in ADP 41687h1780w 7 64 the the DET 41687h1780w 7 65 present present NOUN 41687h1780w 7 66 . . PUNCT 41687h1780w 8 1 the the DET 41687h1780w 8 2 first first ADJ 41687h1780w 8 3 system system NOUN 41687h1780w 8 4 is be AUX 41687h1780w 8 5 a a DET 41687h1780w 8 6 collection collection NOUN 41687h1780w 8 7 of of ADP 41687h1780w 8 8 agents agent NOUN 41687h1780w 8 9 that that PRON 41687h1780w 8 10 attempt attempt VERB 41687h1780w 8 11 to to PART 41687h1780w 8 12 predict predict VERB 41687h1780w 8 13 the the DET 41687h1780w 8 14 future future NOUN 41687h1780w 8 15 and and CCONJ 41687h1780w 8 16 use use VERB 41687h1780w 8 17 that that DET 41687h1780w 8 18 information information NOUN 41687h1780w 8 19 to to PART 41687h1780w 8 20 compete compete VERB 41687h1780w 8 21 for for ADP 41687h1780w 8 22 a a DET 41687h1780w 8 23 scarce scarce ADJ 41687h1780w 8 24 resource resource NOUN 41687h1780w 8 25 . . PUNCT 41687h1780w 9 1 the the DET 41687h1780w 9 2 second second ADJ 41687h1780w 9 3 system system NOUN 41687h1780w 9 4 is be AUX 41687h1780w 9 5 a a DET 41687h1780w 9 6 maxwell maxwell PROPN 41687h1780w 9 7 demon demon NOUN 41687h1780w 9 8 that that PRON 41687h1780w 9 9 has have VERB 41687h1780w 9 10 constraints constraint NOUN 41687h1780w 9 11 on on ADP 41687h1780w 9 12 how how SCONJ 41687h1780w 9 13 quickly quickly ADV 41687h1780w 9 14 it it PRON 41687h1780w 9 15 can can AUX 41687h1780w 9 16 open open VERB 41687h1780w 9 17 and and CCONJ 41687h1780w 9 18 close close VERB 41687h1780w 9 19 its its PRON 41687h1780w 9 20 gate gate NOUN 41687h1780w 9 21 . . PUNCT 41687h1780w 10 1 its its PRON 41687h1780w 10 2 uses use VERB 41687h1780w 10 3 knowledge knowledge NOUN 41687h1780w 10 4 of of ADP 41687h1780w 10 5 when when SCONJ 41687h1780w 10 6 particles particle NOUN 41687h1780w 10 7 collide collide VERB 41687h1780w 10 8 with with ADP 41687h1780w 10 9 the the DET 41687h1780w 10 10 gate gate NOUN 41687h1780w 10 11 it it PRON 41687h1780w 10 12 controls control VERB 41687h1780w 10 13 to to PART 41687h1780w 10 14 schedule schedule VERB 41687h1780w 10 15 a a DET 41687h1780w 10 16 sequence sequence NOUN 41687h1780w 10 17 of of ADP 41687h1780w 10 18 gate gate NOUN 41687h1780w 10 19 openings opening NOUN 41687h1780w 10 20 and and CCONJ 41687h1780w 10 21 closures closure NOUN 41687h1780w 10 22 , , PUNCT 41687h1780w 10 23 and and CCONJ 41687h1780w 10 24 maximize maximize VERB 41687h1780w 10 25 its its PRON 41687h1780w 10 26 net net ADJ 41687h1780w 10 27 rate rate NOUN 41687h1780w 10 28 of of ADP 41687h1780w 10 29 particle particle NOUN 41687h1780w 10 30 or or CCONJ 41687h1780w 10 31 energy energy NOUN 41687h1780w 10 32 transfer transfer NOUN 41687h1780w 10 33 . . PUNCT