FourierChecking¶
- class FourierChecking(f, g)[código fonte]¶
Bases:
qiskit.circuit.quantumcircuit.QuantumCircuit
Fourier checking circuit.
The circuit for the Fourier checking algorithm, introduced in [1], involves a layer of Hadamards, the function \(f\), another layer of Hadamards, the function \(g\), followed by a final layer of Hadamards. The functions \(f\) and \(g\) are classical functions realized as phase oracles (diagonal operators with {-1, 1} on the diagonal).
The probability of observing the all-zeros string is \(p(f,g)\). The algorithm solves the promise Fourier checking problem, which decides if f is correlated with the Fourier transform of g, by testing if \(p(f,g) <= 0.01\) or \(p(f,g) >= 0.05\), promised that one or the other of these is true.
The functions \(f\) and \(g\) are currently implemented from their truth tables but could be represented concisely and implemented efficiently for special classes of functions.
Fourier checking is a special case of \(k\)-fold forrelation [2].
Reference:
[1] S. Aaronson, BQP and the Polynomial Hierarchy, 2009 (Section 3.2). arXiv:0910.4698
[2] S. Aaronson, A. Ambainis, Forrelation: a problem that optimally separates quantum from classical computing, 2014. arXiv:1411.5729
Create Fourier checking circuit.
- Parâmetros
f (
List
[int
]) – truth table for f, length 2**n list of {1,-1}.g (
List
[int
]) – truth table for g, length 2**n list of {1,-1}.
- Levanta
CircuitError – if the inputs f and g are not valid.
- Reference Circuit:
Attributes
- ancillas¶
Returns a list of ancilla bits in the order that the registers were added.
- Tipo de retorno
List
[AncillaQubit
]
- calibrations¶
Return calibration dictionary.
- The custom pulse definition of a given gate is of the form
{“gate_name”: {(qubits, params): schedule}}
- Tipo de retorno
dict
- clbits¶
Returns a list of classical bits in the order that the registers were added.
- Tipo de retorno
List
[Clbit
]
- data¶
Return the circuit data (instructions and context).
- Retorno
a list-like object containing the tuples for the circuit’s data.
Each tuple is in the format
(instruction, qargs, cargs)
, where instruction is an Instruction (or subclass) object, qargs is a list of Qubit objects, and cargs is a list of Clbit objects.- Tipo de retorno
QuantumCircuitData
- extension_lib = 'include "qelib1.inc";'¶
- global_phase¶
Return the global phase of the circuit in radians.
- Tipo de retorno
Union
[ParameterExpression
,float
]
- header = 'OPENQASM 2.0;'¶
- instances = 9¶
- metadata¶
The user provided metadata associated with the circuit
The metadata for the circuit is a user provided
dict
of metadata for the circuit. It will not be used to influence the execution or operation of the circuit, but it is expected to be passed between all transforms of the circuit (ie transpilation) and that providers will associate any circuit metadata with the results it returns from execution of that circuit.- Tipo de retorno
dict
- num_ancillas¶
Return the number of ancilla qubits.
- Tipo de retorno
int
- num_clbits¶
Return number of classical bits.
- Tipo de retorno
int
- num_parameters¶
Convenience function to get the number of parameter objects in the circuit.
- Tipo de retorno
int
- num_qubits¶
Return number of qubits.
- Tipo de retorno
int
- parameters¶
Convenience function to get the parameters defined in the parameter table.
- Tipo de retorno
ParameterView
- prefix = 'circuit'¶