QkBitTerm

enum QkBitTerm

An enum that to represent each of the single-qubit alphabet terms enumerated below.

Values

• QkBitTerm_X

  The Pauli $X$ operator.

  Value: 2 (0b0010)

• QkBitTerm_Y

  The Pauli $Y$ operator.

  Value: 3 (0b0011)

• QkBitTerm_Z

  The Pauli $Z$ operator.

  Value: 1 (0b0001)

• QkBitTerm_Plus

  The projector $\lvert +\rangle\langle +\rvert$ to the positive $X$ eigenstate.

  Value: 10 (0b1010)

• QkBitTerm_Minus

  The projector $\lvert -\rangle\langle -\rvert$ to the negative $X$ eigenstate.

  Value: 6 (0b0110)

• QkBitTerm_Right

  The projector $\lvert r\rangle\langle r\rvert$ to the positive $Y$ eigenstate.

  Value: 11 (0b1011)

• QkBitTerm_Left

  The projector $\lvert l\rangle\langle l\rvert$ to the negative $Y$ eigenstate.

  Value: 7 (0b1011)

• QkBitTerm_Zero

  The projector $\lvert 0\rangle\langle 0\rvert$ to the positive $Z$ eigenstate.

  Value: 9 (0b1001)

• QkBitTerm_One

  The projector $\lvert 1\rangle\langle 1\rvert$ to the negative $Z$ eigenstate.

  Value: 5 (0b0101)

Representation

The enum is stored as single byte, its elements are represented as unsigned 8-bit integer.

typedef uint8_t QkBitTerm

The numeric structure of these is that they are all four-bit values of which the low two bits are the (phase-less) symplectic representation of the Pauli operator related to the object, where the low bit denotes a contribution by $Z$ and the second lowest a contribution by $X$, while the upper two bits are 00 for a Pauli operator, 01 for the negative-eigenstate projector, and 10 for the positive-eigenstate projector.

Functions

qk_bitterm_label

QkBitTerm bit_term = QkBitTerm_Y;
// cast the uint8_t to char
char label = qk_bitterm_label(bit_term);