quantum-sim

About

Quantum computation simulation library with qubits and quantum logic gates implemented as complex matrices

Use

Download the release and run the following command

pip install <release-file>

Modules

• quantSim.cplx: Complex
• quantSim.qgates: Quantum gates
• quantSim.qubit: Qubits

Features

Complex

Numbers

• c = cnum(r, i): where r is the real part and i is the imaginary part (defaulted 0)

• ~c: complex conjugate of c

• abs(c): modulus of c (Euclidean norm)

• c1 + c2, c1 * c2: complex addition/multiplication

• c @ cm: complex scalar times complex matrix cm

• c.to_string(rem0, condensed) and c.display(rem0, condensed): get/print the string representation

  • rem0: replace 0 values with empty space (default True)
  • condensed: condense the output by removing spaces (default False)

• cexp(x): get the complex exponential e^(xi) where x is a constant

Matrices

• cm = cmat(rows, cols, entries): where rows, cols refer to the number of rows and columbs in the matrix respectively, and entries refers to the non-zero entries of the matrix
  • entries = {(r_1, c_1):cnum(a_1, b_1), (r_2, c_2):cnum(a_2, b_2),..., (r_n, c_n):cnum(a_n, b_n)} where the r_j``c_j entry of the matrix has value a_j + b_j i
• cm.transpose(): transpose of cm
• ~cm: dagger of cm
• cm1 * cm2: returns the tensor (Kronecker) product of cm1 and cm2
• cm1 @ cm2: matrix multiplication
• cm**n: matrix exponentiation to the power of n
• c.display(rem0, condensed): print the string representation
  • rem0: replace 0 values with empty space (default True)
  • condensed: condense the output by removing spaces (default False)

Quantum Gates

• I(): Identity
• H(): Hadamard
• X(): Pauli-X
• Y(): Pauli-Y
• Z(): Pauli-Z
• S(): Phase
• T(): pi/8 (T^2 = S)
• CX(): Controlled Not X (2 qubits)
• CY(): Controlled Not Y (2 qubits)
• CZ(): Controlled Not Z (2 qubits)
• SWAP(): Swap (2 qubits)
• CCNOT(): Toffoli (3 qubits)

Qubits

• zero(), one(): qubits initialized with 0 and 1 respectively
• prob(c): calculates the probability corresponding to complex number c (a^2 + b^2)
• read(cm): reads superpositioned qubits as a matrix cm and destroys qubit data
• ket(cm, rem0, condensed): prints the data in a superpositioned qubit as a matrix cm in ket (Dirac) notation
  • rem0: replace 0 values with empty space (default True)
  • condensed: condense the output by removing spaces (default False)