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…eral distinct mechanisms: (a) two data-qubit bit flips during the same cycle, (b) a single data-qubit bit flip during a CNOT gate, (c) one data-qubit bit flip and one ancilla-qubit…

…data bit. The second is the ancilla bit A which is simply defined as the parity b1 ‘ b2 of the two input bits b1, b2. Analogously to the equality…

…is the data bit. The second is the ancilla bit A which is simply defined as the parity b1 ‘ b2 of the two input bits b1, b2. Analogously to…

…integers using Shor’s algo- rithm [Sho94]. Assuming factoring is classically intractable, this task yields a quantum advantage and is tractable to verify (simply multiply the output factors and check if…

…described in Eq.(15). This can be explained by the fact that our composite mea- surement only acts non-trivially on anti-parallel neighboring sites, while leaving the bit strings with extensively long…

…trained QAE we randomly draw 104 pure logical states that uniformly cover the logical Bloch sphere. These states are subjected to Pauli X-errors occur- ring independently on every qubit with…

…possibility of reversible com- putation, since bit symmetric theories allow any logical bit (pair of distinguishable states) of the theory to be reversibly transformed into any other logical bit. 4…

…Furthermore, [Chu+19] directly applies known quantum money constructions, which require difficult-to-prepare highly entangled states. Our focus here, in contrast, is to take a “first-principles” approach and build a technologically simple-to-implement…