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Is it possible to encode classical data in quantum superposition?
A prerequisite for many quantum information processing tasks to truly surpass classical approaches is an efficient procedure to encode classical data in quantum superposition states.
How are qubits used to store classical data?
For registering or updating classical data consisting of M entries, each represented by n bits, the method requires O ( n) qubits and O ( Mn) steps. With post-selection at an additional cost, our method can also store continuous data as probability amplitudes.
How is quantum random access memory used in simulation?
Quantum simulation also requires the preparation of a quantum register in the initial physical state of the simulated system 11. One promising avenue is to use quantum random access memory (QRAM) 12, a device that stores either classical or quantum data with the ability to query the data with respect to superposition of addresses.
Can a quantum state be reused in another algorithm?
A quantum state prepared by QRAM as an input to a specific algorithm cannot be reused once measured (the quantum measurement postulate), nor be copied (the no-cloning theorem) for another task. Thus, in general, the QRAM cost seems unavoidable per algorithm run, even when performing a set of algorithms with an identical input state.
How does FF-QRAM read unsorted classical data?
The FF-QRAM can read unsorted classical data stored in memory cells, and superpose them in the computational basis states with non-uniform probability amplitudes to create a specific input state required in a quantum algorithm. Also, the classical information stored in the quantum state can easily be updated with the same FF-QRAM process.
Which is the superposition state of a qubit?
The qubit can be found to exist in the state of 0, 1 or the superposition state which represents the state of both 0 and 1. However, when measured, Qubit would found to be in only one of the two states 0 and 1 and not the superposition state. This is very important to understand. The state in Quantum theory is represented using | and >.
What is the modulus squared of a quantum superposition?
Recall that the complex numbers are of the form, c = a + ib, where i = − 1. As per the quantum mechanics, the modulus squared of α and β represents the probability of finding the qubit in state 0 → and 1 → respectively.