|Title||On the advantages of using relative phase Toffolis with an application to multiple control Toffoli optimization|
|Publication Type||Journal Article|
|Year of Publication||2016|
|Journal||Physical Review A|
Various implementations of the Toffoli gate up to a relative phase have been known for years. The advantage over regular Toffoli gate is their smaller circuit size. However, their use has been often limited to a demonstration of quantum control in designs such as those where the Toffoli gate is being applied last or otherwise for some specific reasons the relative phase does not matter. It was commonly believed that the relative phase deviations would prevent the relative phase Toffolis from being very helpful in practical large-scale designs.