Examples

Examples

A collection of examples that demonstrate the various uses and functionality of the package. It is divided into five chapters:

• part:examples_states Quantum state generation

• part:examples_gates Quantum gate decomposition and construction

• part:examples_arithmetic Quantum logic and arithmetic

• part:examples_algorithms Quantum algorithms, protocols, and procedures

• part:examples_ctcs Quantum closed timelike curves and temporal paradoxes

The first four of these consist of standard processes and circuits that are significant to the fields of quantum computing and quantum information science. The last chapter contains more exotic circuits involving antichronological time travel, particularly in the presence of physically interesting unitary interactions.

Quantum state generation

Quantum state generation

• Generation of a Bell state
• Generation of the GHZ state
• Generation of the generalized GHZ state
• Generation of the W state
• Generation of the generalized W state

Quantum gate decomposition and construction

Quantum gate decomposition and construction

• iSWAP (imaginary-SWAP)
• PSWAP (power-SWAP)
• Toffoli decomposition
• Fourier transform decomposition

Quantum logic and arithmetic

Quantum logic and arithmetic

• CNOT (controlled-NOT)
• CCNOT (controlled-controlled-NOT)
• Half adder
• Full adder
• Ripple-carry adder
• Ripple-carry adder (iterative)
• Carry-lookahead adder
• Fourier transform adder

Quantum algorithms, protocols, and procedures

Quantum algorithms, protocols, and procedures

• Quantum teleportation
• Deutsch-Jozsa algorithm
• Quantum phase estimation
• Shor’s factorization algorithm
• Grover’s algorithm
• Quantum state tomography
• Quantum state tomography via weak measurements

Quantum closed timelike curves and temporal paradoxes

Quantum closed timelike curves and temporal paradoxes

• Grandfather paradox
• Unproven-theorem paradox
• Billiard-ball paradox
• Manual P-CTC
• Equivalent-circuit picture of D-CTCs