edu.buffalo.fs7.mathlib
Class Gate

java.lang.Object
  |
  +--edu.buffalo.fs7.mathlib.MathObject
        |
        +--edu.buffalo.fs7.mathlib.Argument
              |
              +--edu.buffalo.fs7.mathlib.Gate

All Implemented Interfaces:

java.lang.Cloneable

public class Gate

extends Argument

Class representing a quantum gate. Since it is not feasable to save gates as unitary matrices and usually a gate only affects a small number of qubits, it is useful to introduce a more abstract description of a model. The syntax is the following:

{-:-:1:NOT:-} - this would represent a controlled NOT gate operating on the 4th of 5 qubits and beeing controlled by the 3rd. The NOT entry can be replaced by any other unitary (2x2) matrix.

The object specifying the matrix can be a variable, a MathMap producing a matrix or a matrix definition.

For higher dimensional gates the notation is as follows:

{1:-:U:U} this represents a controlled U gate operating on the 3rd and 4th qubit of 4 qubits, it is controlled by the first qubit.

See Also:

BinaryOp, Braket

Field Summary

protected boolean	conjugate
java.lang.String	gate_descr holds the description of the gate in string form
int	matrixDimension holds the matrix dimension
java.lang.String	matrixName holds the matrix name
int	n holds the number of qubits
protected boolean	negative
protected boolean	transpose

Fields inherited from class edu.buffalo.fs7.mathlib.MathObject

mathlib

Constructor Summary

Gate(int n)
here n is the number of qubits ==> the dimension of the corresponding matrix is 2^n.

Gate(int n, int matrixPos, java.lang.String matrixName)
creates a gate for n qubits having a 2x2 matrix matrixName operating at position matrixPos

Gate(MathObject o)
clone constructor

Gate(java.lang.String gate_descr, java.lang.String matrixName)
creates a gate for a given gate_descr string and matrix name

Method Summary

java.lang.Object	clone() clone method
void	conjugate() complex conjugates the gate
boolean	equals(MathObject m1) equality predicate
Matrix	getMatrix() returns the matrix applied to the subspace
void	negative() negates the gate
static Gate	parseGate(java.lang.String str) parses a gate from a given string.
java.lang.String	toString() return string representation of the gate
void	transpose() transposes the gate

Methods inherited from class edu.buffalo.fs7.mathlib.MathObject

toParseableString

Methods inherited from class java.lang.Object

equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Field Detail

gate_descr

public java.lang.String gate_descr

holds the description of the gate in string form

matrixDimension

public int matrixDimension

holds the matrix dimension

matrixName

public java.lang.String matrixName

holds the matrix name

transpose

protected boolean transpose

conjugate

protected boolean conjugate

negative

protected boolean negative

n

public int n

holds the number of qubits

Constructor Detail

Gate

public Gate(int n)

here n is the number of qubits ==> the dimension of the corresponding matrix is 2^n. This constructor simply generates a gate with is unity.

Gate

public Gate(MathObject o)

clone constructor

Gate

public Gate(java.lang.String gate_descr,
            java.lang.String matrixName)

creates a gate for a given gate_descr string and matrix name

Gate

public Gate(int n,
            int matrixPos,
            java.lang.String matrixName)

creates a gate for n qubits having a 2x2 matrix matrixName operating at position matrixPos

Method Detail

clone

public java.lang.Object clone()

clone method

Overrides:

clone in class MathObject

parseGate

public static Gate parseGate(java.lang.String str)
                      throws java.lang.IllegalArgumentException

parses a gate from a given string. Throws an IllegalArgumentException when the operation fails.

transpose

public void transpose()

transposes the gate

conjugate

public void conjugate()

complex conjugates the gate

negative

public void negative()

negates the gate

getMatrix

public Matrix getMatrix()

returns the matrix applied to the subspace

equals

public boolean equals(MathObject m1)

equality predicate

Overrides:

equals in class Argument

toString

public java.lang.String toString()

return string representation of the gate

Overrides:

toString in class MathObject

Following copied from class: edu.buffalo.fs7.mathlib.MathObject

See Also:

MathObject.toParseableString()