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zu8BRpU+8rA`+orE9CJtvr~Bx0=2@5_EdenAbb9RRu(uwBDwmi}+$gMs$|#l-4b9=!Z(i9uDxJVe0o zJ?vtl=rV@?KZ}W&TA3m#2~IH!JpjGMFFmobVBlK8woV$xEBgb$XPp=>rd>@@!pm2c zO&UHXKn!@*VHXoW z0hrl`GRuImO9I?m{ONtzGtKt-2Ph_n!;En7=*&=ia;=XTyfae-Cg*?p=CJC2@ZdiC z0Ga2q!UG)NjOKs6GmQBD6adO$*y^bo!tf80d6u5^#^Iwc5_G#cF1Ki{YsT0SGFK@U?G>`^fGs3YSV;c#)2WX0g|oCILqGP+V^v`;?_<{N}PlT(!Xe E11hM6>Hq)$ literal 0 HcmV?d00001 From a4c015f5b25e63f80f1d553a67af5e11a5cb376c Mon Sep 17 00:00:00 2001 From: yjian012 Date: Wed, 21 Apr 2021 12:06:44 -0700 Subject: [PATCH 4/8] Update README.md --- README.md | 1 + 1 file changed, 1 insertion(+) diff --git a/README.md b/README.md index 704ccdd..fc392af 100644 --- a/README.md +++ b/README.md @@ -2,3 +2,4 @@ Collection of quantum LDPC codes Hyperbolic Codes Planar: a collection of planar hyperbolic codes ordered by Schläfli symbol {f,d} of the corresponding infinite graph. These are CSS codes whose Z and X generators are edge-site incidence matrices of a pair of mutually dual locally planar vertex transitive graphs, finite quotients of the regular hyperbolic tiling. +Hyperbolic Codes Q_ary: q-ary version of the hyperbolic codes, where the incidence matrix elements are 0, 1 and -1, such that the incidence matrix of a graph Gx is orthogonal to that of the dual graph Gz over Z. From e102ec5ee93991633187b11e03c69a1a748a569f Mon Sep 17 00:00:00 2001 From: yjian012 Date: Wed, 21 Apr 2021 12:08:51 -0700 Subject: [PATCH 5/8] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index fc392af..f68df73 100644 --- a/README.md +++ b/README.md @@ -2,4 +2,4 @@ Collection of quantum LDPC codes Hyperbolic Codes Planar: a collection of planar hyperbolic codes ordered by Schläfli symbol {f,d} of the corresponding infinite graph. These are CSS codes whose Z and X generators are edge-site incidence matrices of a pair of mutually dual locally planar vertex transitive graphs, finite quotients of the regular hyperbolic tiling. -Hyperbolic Codes Q_ary: q-ary version of the hyperbolic codes, where the incidence matrix elements are 0, 1 and -1, such that the incidence matrix of a graph Gx is orthogonal to that of the dual graph Gz over Z. +Hyperbolic Codes Q_ary: q-ary version of the hyperbolic codes, where the incidence matrix elements are 0, 1 and -1, such that the incidence matrix of a graph Gx is orthogonal to that of the dual graph Gz over Z, instead of only Z/2Z. From 89b1fa2b139aed1bb4cc1cff96e1a96e0fcea9f9 Mon Sep 17 00:00:00 2001 From: yjian012 Date: Wed, 21 Apr 2021 14:28:49 -0700 Subject: [PATCH 6/8] Add files via upload --- qudit_hyperbolic_1.cpp | 395 +++++++++++++++++++++++++++++++++++++++++ 1 file changed, 395 insertions(+) create mode 100644 qudit_hyperbolic_1.cpp diff --git a/qudit_hyperbolic_1.cpp b/qudit_hyperbolic_1.cpp new file mode 100644 index 0000000..cab8bfa --- /dev/null +++ b/qudit_hyperbolic_1.cpp @@ -0,0 +1,395 @@ +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + int d=7;//degree + int dd=5;//degree of dual graph + string latticelist[]={"5_7_1260.mtx","5_7_6090.mtx"}; + string duallatticelist[]={"7_5_1260.mtx","7_5_6090.mtx"}; + +int** sb;//bonds list for spins +int** bs;//spins list for bonds +//vector > bc;//coefficient +int ns,nb,nc=0; + +bool read_incidence(string readname){ + if(readname.length()){ + ifstream mtxin(readname.c_str()); + if(!mtxin.good()){ + cout<<"error opening file"<>ns>>nb>>nc; + sb=new int*[ns]; + bs=new int*[nb]; + for(int i=0;i>s>>b>>c; + for(int i=0;i=0) + continue; + sb[s-1][i]=b; + break; + } + for(int i=0;i<2;++i){ + if(bs[b-1][i]>=0) + continue; + bs[b-1][i]=s; + break; + } + } + mtxin.close(); + } + return true; + } + else{ + cout<<"error in function \"read_incidence\""<>nf>>nb>>nc; + fb=new int*[nf]; + bf=new int*[nb]; + for(int i=0;i>s>>b>>c; + for(int i=0;i=0) + continue; + fb[s-1][i]=b; + break; + } + for(int i=0;i<2;++i){ + if(bf[b-1][i]>=0) + continue; + bf[b-1][i]=s; + break; + } + } + mtxin.close(); + } + return true; + } + /* + d=4; + lattsize="square_"+to_string(l); + sb2=new int*[l*l]; + bs2=new int*[l*l*2]; + for(int i=0;i > ef_curr;//current layer of edge-face + vector > ef_next;//next layer of edge-face + //vector faces_next;//next layer of faces + + ef_next.push_back(make_pair(1,bf[0][0])); + ef_curr.push_back(ef_next[0]); + + int layercount=0; + while(ef_next.size()){ + layercount++; + if(layercount>=100){ + cout<<"too many layers"< ef=ef_next[i]; + //current face is ef.second, work on all the other edges, create current layer. + vector edges; + for(int j=0;j e1; + if(abs(bf[ef.first-1][0])==ef.second){ + if(bf[ef.first-1][0]<0){ + e1=make_pair(abs(bs[ef.first-1][1]),abs(bs[ef.first-1][0])); + } + else if(bf[ef.first-1][1]<0){ + e1=make_pair(abs(bs[ef.first-1][0]),abs(bs[ef.first-1][1])); + } + else{ + cout<<"something wrong in part 000"; + return -1; + } + } + else if(abs(bf[ef.first-1][1])==ef.second){ + if(bf[ef.first-1][1]<0){ + e1=make_pair(abs(bs[ef.first-1][1]),abs(bs[ef.first-1][0])); + } + else if(bf[ef.first-1][0]<0){ + e1=make_pair(abs(bs[ef.first-1][0]),abs(bs[ef.first-1][1])); + } + else{ + cout<<"something wrong in part 001"; + return -1; + } + } + else{ + cout<<"something wrong in part 002"; + return -1; + } + for(int j=0;j0){ + bf[edges[j]-1][1]*=-1; + ef_curr.push_back(make_pair(edges[j],ef.second)); + } + } + else{ + if(bf[edges[j]-1][1]<0){ + cout<<"graph not orientable"<0){ + bf[edges[j]-1][0]*=-1; + ef_curr.push_back(make_pair(edges[j],ef.second)); + } + } + } + else{//wrong order + e1.first=e1.second; + e1.second=abs(bs[edges[j]-1][0]); + if(abs(bf[edges[j]-1][0])==ef.second){ + if(bf[edges[j]-1][1]<0){ + cout<<"graph not orientable"<0){ + bf[edges[j]-1][0]*=-1; + ef_curr.push_back(make_pair(edges[j],ef.second)); + } + } + else{ + if(bf[edges[j]-1][0]<0){ + cout<<"graph not orientable"<0){ + bf[edges[j]-1][1]*=-1; + ef_curr.push_back(make_pair(edges[j],ef.second)); + } + } + } + edges.erase(edges.begin()+j); + break; + } + } + /* + if(flag==0){ + cout<<"edge not found?"<dd){ + cout<<"stuck in loop"<0) + outfile<<1<0) + outfile<<1<0) + outfile<<1<0) + outfile<<1< Date: Wed, 21 Apr 2021 14:37:09 -0700 Subject: [PATCH 7/8] Update README.md --- README.md | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/README.md b/README.md index f68df73..eec2f15 100644 --- a/README.md +++ b/README.md @@ -3,3 +3,7 @@ Collection of quantum LDPC codes Hyperbolic Codes Planar: a collection of planar hyperbolic codes ordered by Schläfli symbol {f,d} of the corresponding infinite graph. These are CSS codes whose Z and X generators are edge-site incidence matrices of a pair of mutually dual locally planar vertex transitive graphs, finite quotients of the regular hyperbolic tiling. Hyperbolic Codes Q_ary: q-ary version of the hyperbolic codes, where the incidence matrix elements are 0, 1 and -1, such that the incidence matrix of a graph Gx is orthogonal to that of the dual graph Gz over Z, instead of only Z/2Z. + +qudit_hyperbolic_1.cpp: To create q-ary incidence matrices based on the binary ones. +Input: Put the incidence matrices in the same directory, write the filenames of the same {p,q} tilings and the dual tilings in "latticelist" and "duallatticelist". "d" is the vertex degree of the graph, and "dd" is the degree of the dual graph. The graphs must be regular. +Output: The q-ary incidence matrices, filename is "q_" followed by the original filename. If the graph are non-orientable, e.g. on a Klein bottle, it returns -1 with an error. From f09af92ca097843c0239b275705cf83c10a6c8ee Mon Sep 17 00:00:00 2001 From: Yi Jiang Date: Mon, 26 Apr 2021 22:50:30 -0700 Subject: [PATCH 8/8] Update qudit_hyperbolic_1.cpp --- qudit_hyperbolic_1.cpp | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/qudit_hyperbolic_1.cpp b/qudit_hyperbolic_1.cpp index cab8bfa..fd11030 100644 --- a/qudit_hyperbolic_1.cpp +++ b/qudit_hyperbolic_1.cpp @@ -1,3 +1,4 @@ +//By Yi Jiang, April 2021 #include #include #include @@ -392,4 +393,4 @@ int main(){ delete_lattice(); } return 0; -} \ No newline at end of file +}

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