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Highlights from
QUBIT4MATLAB V4.0

E0=ising_classical_ground(B) ising_classical_ground Ground state energy of the classical Ising model
E0=ising_ground(BField,vararg... ising_ground Ground state energy of the quantum Ising model
E0=ising_thermal(BField,T,var... ising_thermal - Internal energy of the Ising model in thermal equilibrium
E0=xy_classical_ground(Jx,Jy,... xy_classical_ground Ground state energy of the classical xy model
F=ising_free(BField,T) ising_free - Free energy of the Ising model in thermal equilibrium
H=heisenberg(varargin) heisenbergp Hamiltonian for the Heisenberg model with periodic BEC
H=heisenberg(varargin) heisenberg Hamiltonian for the Heisenberg model with non-periodic BEC
H=ising(BField,varargin) ising Hamiltonian for the Ising model with non-periodic boundary
H=isingp(BField,varargin) isingp Hamiltonian for the Ising model with periodic BEC
H=spising(BField,varargin) spising Hamiltonian for the Ising model with non-periodic BEC; sparse
H=spising2D(BField,Nx,Ny) spising2D Hamiltonian for the 2D Ising model with aperiodic boundary condition; sparse
H=spisingp(BField,varargin) spisingp Hamiltonian for the Ising model with periodic boundary condition; sparse
Hzz=splattice(op1,op2,Nx,Ny) splattice Lattice Hamiltonian for a 2D spin model with nn interaction with aperiodic
Hzz=splatticep(op1,op2,Nx,Ny) splatticep Lattice Hamiltonian for a 2D spin model with nn interaction with periodic
P=proj_asym(N,varargin) proj_asym Gives the projector to the antisymmetric subspace
P=proj_sym(N,varargin) proj_sym Gives the projector to the symmetric subspace
U=U_CNOT U_CNOT 4x4 unitary matrix realizing a CNOT gate
U=U_H U_H 2x2 unitary matrix realizing a Hadamard gate
U=runitary(varargin); runitary Random unitary
[Jx,Jy,Jz]=su2(d); su2 SU(2) generators for dxd matrices
[difference,U0]=twirl2(rho,va...
[fmin,f123]=optspinsq(rho) optspinsq(rho) Optimal spin squeezing inequalities
[g,stab]=gstate(Gamma)
[m,fa0]=maxsymsep(op,varargin) maxsymsep Maximum for symmetric multi-qubit product states.
[r,difference]=twirl(rho,vara... twirl Twirling
[witness,alpha2,coeff2]=optwi... optwitness Optimal entanglement witness for detecting genuine
b=braket(phi1,varargin) braket Dirac's bra-ket
c=binom(a,b)
c=ccnr(rho) ccnr Computable cross norm - realignment criterion
c=coll(op,varargin) coll Defines a collective operator which is the sum of single-qudit operators.
c=comm(A,B) comm Commutator of two matrices.
c=concurrence(rho); concurrence Compute the concurrence of a two-qubit density matrix.
c=cstate(varargin) cstate Defines a cluster state.
c=rstate(varargin) rcstate Defines a ring cluster state.
c=spcoll(op,varargin) spcoll Defines a collective operator which is the sum of single-qudit
coeff=schmidt(state,list) schmidt Schmidt coefficients of a pure state.
e=ex(op,rho) ex Expectation value of an operator
g=ghzstate(varargin) ghzstate Defines a GHZ state.
gs=grstate(H) grstate Normalized ground state of a Hamiltonian
h=nnchain(a,b,varargin) nnchain Defines a Hamiltonian with a(k)b(k+1) nearest-neighbor
h=nnchainp(a,b,varargin) nnchainp Defines a Hamiltonian with a(k)b(k+1) nearest-neighbor
h=spnnchain(a,b,varargin) spnnchain Defines a Hamiltonian with a(k)b(k+1) nearest-neighbor
h=spnnchainp(a,b,varargin) spnnchainp Defines a Hamiltonian with a(k)b(k+1) nearest-neighbor
k=ketbra(f); ketbra Creating a density matrix from an unnormalized state vector.
k=ketbra2(f); ketbra2 Creating a density matrix from an unnormalized state vector.
m=maxbisep(op1,list,varargin) maxbisep Maximum for biseparable multi-qubit states.
m=maxeig(M); maxeig Maximum eigenvalue of a matrix
m=maxppt(op,list,varargin) maxppt Maximum for multi-qudit states with a positive partial transpose.
m=maxsep(op,varargin) maxsep Maximum for multi-qudit separable states.
m=mineig(M); mineig Minimum eigenvalue of a matrix
m=pkron(matrix,no_of_repeatat...
matrix=reordermat(pattern,var... reordermat Transformation matrix for reordering the qudits according to
matrix=reordermatsp(pattern,v... spreordermat Transformation matrix for reordering the qudits according to
maxoverlap=overlapb(state) overlapb Maximal overlap with biseparable states
mb=maxb(op1,varargin) maxb(op) gives maximum value for
mkron(A,B,varargin) mkron Kronecker (tensor) product of several matrices.
mm=reorder(m,pattern,varargin) reorder Reorder a state vector or a density matrix according to
mm=shiftquditsleft(m,varargin) shiftquditsleft Shift the qudits to the left
mm=shiftquditsright(m,varargi... shiftquditsright Shift the qudits to the right
mm=swapqudits(m,k,l,varargin) swapqudits Swap two qudits of a qudit register
mop=quditop(op,k1,varargin) quditop Operator acting on a qudit of a qudit register
mop=sptwoquditop(op,k1,k2,var... spquditop Operator acting on a given qudit; sparse version
mop=sptwoquditop(op,k1,k2,var... sptwoquditop Operator on given qudits; sparse version
mop=twoquditop(op,k1,k2,varar... twoquditop(op,k1,k2,n) defines an n-qudit quantum operator
neg=negativity(rho,list,varar... negativity Negativity for a qudit register.
obs=orthogobs(d) orthogobs Orthogonal observables for a qudit
op=interact(op1,op2,n1,n2,var... interact Interaction between two qudits
op=paulistr(pstring) paulistr Converts a Pauli string into an operator.
op=spinteract(op1,op2,n1,n2,v... spinteract Interaction between two qudits; sparse version
p=rproduct(varargin) rproduct Random product state vector for a given number of qubits.
pstring=decompose(rho,varargi... decompose Creates a string with the Pauli decomposition of a
q=qsize(matrix,varargin)
r=keep(rho_in,listneg,varargi... keep Reduced density matrix keeping the given qubits.
r=keep_nonorm(rho_in,listneg,... keep_nonorm Reduced density matrix keeping the given qubits.
r=rdmat(varargin) rdmat Random density matrix
r=remove(rho_in,list,varargin) remove Reduced density matrix
rho=BES_Breuer(lambda,d) BES_Breuer Breuer?s two-qudit bound entangled state
rho=BES_Horodecki2x4(b) BES_Horodecki2x4 Horodecki's 2x4 bound entangled state
rho=BES_Horodecki3x3(a) BES_Horodecki3x3 Horodecki's 3x3 bound entangled state
rho=BES_UPB3x3 BES_UPB3x3 3x3 bound entangled state constructed with UPBs
rho=thstate(H,kT) thstate Thermal state of a system with a given Hamiltonian
rhoR=mrealign(rho,list,vararg... mrealign Generalized realignment of a multipartite operator
rhoR=realign(rho) realign Realignment of the bipartite density matrix.
rhoT=pt(rho,list,varargin) pt partial transposition of a density matrix
rhoT=pt_nonorm(rho,list,varar... pt_nonorm partial transposition of a density matrix
rho_noisy=addnoise(rho,p) addnoise Adds white noise to a density matrix.
s=mestate(d) mestate Maximally entangled state
s=mmstate(varargin) mmstate Density matrix for the maximally mixed state
s=printv(v,varargin); printv Prints a state vector in product basis.
s=qeye(varargin) qeye Identity matrix for a given number of qudits.
s=qvec(varargin) qvec Empty state vector for a given number of qudits.
s=rvec(varargin) rvec Random state vector for a given number of qudits.
s=singlet(varargin) singlet Defines a singlet state.
s=smolinstate smolinstate Gives the four-qubit bound entangled state
stab=gstate_stabilizer(Gamma) gstate_stabilizer Gets the generators for the stabilizer of a graph state.
t=trace2(rho)
t=trnorm(A) trnorm Tracenorm of a matrix
v=va(op,rho) va Variance of an operator
vec=reordermat(pattern,vararg... reordervec Transformation vector for reordering the qudits according to
w=bra(v) bra After element-wise conjugation, transforms a vector into a normalized row vector.
w=dstate(e,varargin) dstate Defines a symmetric Dicke state.
w=ket(v) ket Transforms a vector into normalized column vector.
w=nm(v) nm Normalization
w=wstate(varargin)
contents.m
example1.m
example2.m
example3.m
example_maxppt.m
example_optwitness.m
paulixyz.m
su3.m
su3_alternative.m
ver.m
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QUBIT4MATLAB V4.0

by Geza Toth

07 Sep 2005 (Updated 07 Jul 2009)

MATLAB package for quantum information science and quantum mechanics.

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Description

This program package helps modeling spin chains, qubit registers, etc. according to nonrelativistic quantum mechanics and some novel ideas from quantum information theory.

In particular, it contains MATLAB routines for reordering qubits, for computing the reduced density matrix after removing some of the qubits, for partial transposition, etc. Most of the routines work also for qudits. It also has routines for handling GHZ states, cluster states, graph states, Dicke states, etc.

See README.txt.

MATLAB release

MATLAB 6.5 (R13)

Tags for This File
Everyone's Tags	chemistry, physics, quantum, quantum information, quantum mechanics, qubit, spin chains
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Comments and Ratings (8)
10 Feb 2006	Shawn Hu	It is timely for a freshman to find it!
02 Feb 2007	Amir Tavala	I really need it. I hope to see the newer version soon.
10 Sep 2007	jiangmin zhang	quite powful!
02 Oct 2007	Gustavo Rubin	very good
16 Oct 2007	Konrad Walus	Excellent work Geza!!
13 Dec 2007	Lee Jackee	Thank you very much!It's really helpful for me!
13 Dec 2007	Lee Jackee	sorry forget give you a A!
18 Jan 2008	Liu Changhai	great helpful for me

Please login to add a comment or rating.

Updates
23 Sep 2005	Small changes + examples added
26 Jan 2006	Small bugs corrected, some new functions added. For details see README.txt.
04 Oct 2006	Some of the most important routines (e.g., reorder, decompose) are made faster. Several routines work now also for qudits, not only for qubits. New routines are added for spin chains, random matrices, etc. For details see README.txt.
06 Sep 2007	small changes, some new commands added (proj_asym,proj_asym, ccnr, orthogobs, trnorm, smolinstate, BES_Horodecki3x3, BES_Horodecki2x4, BES_UPB3x3, mrealign, va), 20 pages documentation added as qubit4matlab.pdf. See README.txt.
10 Sep 2007	V 3.01: Small changes in help text
12 Oct 2007	V3.02 small changes (see README.txt)
30 May 2008	V 3.02: small changes (see README.txt)
25 May 2009	V 4.0: small changes + some commands added (see README.txt)
07 Jul 2009	V 4.01: small changes (see README.txt)

Tag Activity for this File
Tag	Applied By	Date/Time
chemistry	Geza Toth	22 Oct 2008 07:59:28
physics	Geza Toth	22 Oct 2008 07:59:28
quantum information	Geza Toth	22 Oct 2008 07:59:28
quantum mechanics	Geza Toth	22 Oct 2008 07:59:28
spin chains	Geza Toth	22 Oct 2008 07:59:28
qubit	Geza Toth	22 Oct 2008 07:59:28
quantum	Geza Toth	22 Oct 2008 07:59:28

Highlights from QUBIT4MATLAB V4.0

QUBIT4MATLAB V4.0

Highlights from
QUBIT4MATLAB V4.0