docs/examples/notebooks/quantum_computing.ipynb

{"cells":[{"cell_type":"text","text":"<h1>Symbolic Quantum Computing</h1>"},{"code":"%load_ext sympy_printing","cell_type":"code","prompt_number":2},{"code":"from sympy import sqrt, symbols, Rational\nfrom sympy import expand, Eq, Symbol, simplify, exp, sin\nfrom sympy.physics.quantum import *\nfrom sympy.physics.quantum.qubit import *\nfrom sympy.physics.quantum.gate import *\nfrom sympy.physics.quantum.grover import *\nfrom sympy.physics.quantum.qft import QFT, IQFT, Fourier\nfrom sympy.physics.quantum.circuitplot import circuit_plot","cell_type":"code","prompt_number":3},{"code":"alpha, beta = symbols('alpha beta',real=True)","cell_type":"code","prompt_number":4},{"code":"psi = alpha*Qubit('00') + beta*Qubit('11'); psi\n","cell_type":"code","prompt_number":5},{"code":"Dagger(psi)\n","cell_type":"code","prompt_number":6},{"code":"qapply(Dagger(Qubit('00'))*psi)\n","cell_type":"code","prompt_number":7},{"code":"for state, prob in measure_all(psi):\n    display(state)\n    display(prob)\n","cell_type":"code","prompt_number":8},{"code":"represent(psi, nqubits=2)\n","cell_type":"code","prompt_number":9},{"code":"g = X(0); g\n","cell_type":"code","prompt_number":10},{"code":"represent(g, nqubits=2)\n","cell_type":"code","prompt_number":11},{"code":"c = H(0)*Qubit('00'); c\n","cell_type":"code","prompt_number":12},{"code":"qapply(c)\n","cell_type":"code","prompt_number":13},{"code":"for g1 in (Y,Z,H):\n    for g2 in (Y,Z,H):\n        e = Commutator(g1(0),g2(0))\n        if g1 != g2:\n            display(Eq(e,e.doit()))\n","cell_type":"code","prompt_number":14},{"code":"c = H(0)*X(1)*H(0)**2*CNOT(0,1)*X(1)**3*X(0)*Z(2)**2*S(3)**3; c\n","cell_type":"code","prompt_number":24},{"code":"circuit_plot(c, nqubits=4)","cell_type":"code","prompt_number":25},{"code":"gate_simp(c)\n","cell_type":"code","prompt_number":16},{"code":"circuit_plot(gate_simp(c),nqubits=5)","cell_type":"code","prompt_number":23},{"code":"%notebook save quantum_computing.ipynb","cell_type":"code","prompt_number":35}]}