Replacing the Quantum Paradigm.

V. A. Kuz’menko

Andrei Yu. Khrennikov

David Elis-Williams, J. C. Polkinghorne

Jung Lee

A new paradigm is now needed to disprove the common perception of Heisenberg’s experimental observations. A theoretical framework which will replace uncertainty with knowledge. One in which both the velocity and location of any particle can be determined with exact certainty. That the mathematical and logical paradox of singularity do not exist, as well as explain the apparent behavior of photons as both particles and waves is an easily understood and calculable phenomenon.

Florian Ginzel, Javad Kazemi, Valentin Torggler +1 more

We introduce the paradigm of replacement-type quantum gates. This type of gate introduces input qubits, candidate qubits, and output qubits. The candidate qubits are prepared such, that a displacement conditional on the input qubit results in the targeted output state. Finally, the circuit continues with the output qubits constructed from the candidate qubits instead of the input qubits, thus the name "replacement-type gate". We present examples of replacement-type $X$ and $\mathrm{CNOT}$ gates realized with spin qubits and with neutral atom qubits with error rates predicted near the threshold of the XZZX surface code. By making use of the extended Hilbert space, including the position of the particles, these gates approximately preserve the innate noise bias of the qubits. The gate preserves the noise bias which motivates advanced quantum computer architectures with quantum error correction.