R/TDagger.R

In QGameTheory: Quantum Game Theory Simulator

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#                                                                            #
#                       HERMITIAN TRANSPOSE OF THE T GATE                    #
#                                                                            #
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#' @title
#' Hermitian Transpose of the T gate
#'
#' @description
#' This function operates the hermitian transpose of the T gate on a conformable input matrix or a vector.
#'
#' @param n a vector/matrix
#'
#' @usage
#' TDagger(n)
#'
#' @return A matrix or a vector after performing the operation of the hermitian transpose of the T gate on a conformable input matrix or a vector.
#'
#' @references
#' \url{https://en.wikipedia.org/wiki/Quantum_logic_gate}\cr
#' \url{http://www2.optics.rochester.edu/~stroud/presentations/muthukrishnan991/LogicGates.pdf}\cr
#'
#' @examples
#' init()
#' TDagger(Q$I2)
#' TDagger(Q$Q_plus)
#'
#' @export
#'


TDagger <- function(n){
  t <- matrix(c(1, 0, 0, exp(-1i*pi/4)), ncol=2, byrow=TRUE)
  return (t %*% n)
}