Quantum Computing. Hafiz Md. Hasan Babu

4.2.1 The quantum half-subtractor

       4.2.2 The quantum full-subtractor

       4.3 Summary

       Further reading

       5 The quantum multiplexer and demultiplexer

       5.1 The quantum multiplexer

       5.1.1 The quantum 2-to-1 multiplexer

       5.1.2 The quantum 4-to-1 multiplexer

       5.1.3 The quantum 2n-to-1 multiplexer

       5.2 The quantum demultiplexer

       5.2.1 The quantum 1-to-2 demultiplexer

       5.2.2 The quantum 1-to-4 demultiplexer

       5.2.3 The quantum 1-to-2ⁿ demultiplexer

       5.3 Summary

       Further reading

       6 Quantum adder circuits

       6.1 The carry skip adder

       6.2 The quantum comparison circuit

       6.3 The quantum 2-to-1 multiplier circuit

       6.4 The design of a quantum carry skip adder

       6.4.1 The four-bit quantum carry skip adder

       6.4.2 The n-bit quantum carry skip adder

       6.4.3 Calculation of the area and power of a quantum carry skip adder circuit

       6.4.4 Complexity of the n-bit quantum carry skip adder circuit

       6.5 The quantum BCD adder

       6.6 Summary

       Further reading

       7 The quantum multiplier–accumulator

       7.1 The importance of the quantum multiplier–accumulator

       7.2 The multiplication technique

       7.3 Reduction of the garbage outputs and ancillary inputs of quantum circuits

       7.4 The design of a quantum multiplier circuit

       7.4.1 The quantum ANDing circuit

       7.4.2 The quantum full-adder circuit

       7.4.3 The n × n-qubit quantum multiplier

       7.5 Summary

       Further reading

       8 The quantum divider

       8.1 Division algorithms

       8.1.1 Classical integer division algorithms

       8.1.2 Quantum integer division algorithms

       8.2 The importance of the quantum divider

       8.3 The tree-based quantum division technique

       8.3.1 Definitions and properties of the division technique

       8.3.2 The algorithm of the division technique

       8.4 The design of a quantum divider circuit

       8.4.1 A technique to minimize the number of ancillary inputs in the quantum circuit realization

       8.4.2 The components of the quantum divider circuit

       8.5 Summary

       Further reading

       9 The quantum BCD priority encoder

       9.1 The properties of an encoder

       9.2 The design of a quantum BCD priority encoder circuit

       9.2.1 The quantum BCD priority encoder circuit

       9.2.2 Analysis of the properties of the encoder circuit

       9.3 Summary

       Further reading

       10 The quantum decoder

       10.1 The characteristics of a decoder

       10.2 The design of a quantum decoder

       10.2.1 The quantum decoder circuit

       10.2.2 Analysis of the properties of the circuits