2010 **Abstract:** It is shown that the fault testing for quantum circuits does not follow conventional classical techniques. If probabilistic gate like Hadamard gate is included in a circuit then the classical notion of test vector is shown to fail. We have reported several new and distinguishing features of quantum fault and also presented a general methodology for detection of functional faults in a quantum circuit. The technique can generate test vectors for detection of dierent kinds of fault. Specic examples are given and …

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“…All test cases utilize the single thread mode. To show the improvements displayed in Table 2, the experimental result is collected in Table 3 with comparisons between the previous O(n 4 ) method and our improved O(n 3 ) method. This table contains those test cases with large dimensions of the state Hilbert spaces.…”

confidence: 99%

“…All test cases utilize the single thread mode. To show the improvements displayed in Table 2, the experimental result is collected in Table 3 with comparisons between the previous O(n 4 ) method and our improved O(n 3 ) method. This table contains those test cases with large dimensions of the state Hilbert spaces.…”

confidence: 99%

“…The experiment results for equivalence checking of benchmark quantum circuits are described in Sec. 4. The proofs of our main theorems are presented in Sec.…”

confidence: 99%

“…However, in the traditional irreversible computing, some losses of energy would still happen as it is implemented with irreversible logic gates, like AND, NOR, NAND all of which map a 2-bit input into a 1-bit output and thus causes an energy loss amounting to at least kT ln 2. This advantage of reversible computing and the computational speed up achieved by the quantum computer have motivated scientists to design and optimize reversible and quantum circuits for various purposes [for a set of interesting reversible circuits see [8,9], some interesting reversible circuits and their optimization are reported in [10][11][12], whereas a set of important quantum circuits can be found at [13][14][15][16][17][18][19]]. All these circuits are designed using gates represented by unitary operations, but the general structure of those unitary operations is not investigated until today.…”

confidence: 99%