{"cells":[{"cell_type":"text","text":"<h1>Dense Coding\n</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":"psi = Qubit('00')/sqrt(2) + Qubit('11')/sqrt(2); psi\n","cell_type":"code","prompt_number":4},{"code":"circuits = [H(1)*CNOT(1,0), H(1)*CNOT(1,0)*X(1), H(1)*CNOT(1,0)*Z(1), H(1)*CNOT(1,0)*Z(1)*X(1)]","cell_type":"code","prompt_number":20},{"code":"for circuit in circuits:\n    circuit_plot(circuit, nqubits=2)\n    display(Eq(circuit*psi,qapply(circuit*psi)))","cell_type":"code","prompt_number":21},{"code":"%notebook save dense_coding.ipynb","cell_type":"code","prompt_number":28}]}