Method for signal suppression by increasing entropy and quantum algorithm
A method for signal suppression by increasing entropy in a system includes iteratively applying a set of electromagnetic (EM) pulses to the system, the set of EM pulses effecting swaps between the following pairs of system energy levels: a first system energy level in which the reset system is in a highest energy level and the target system is in a lowest target system energy level, and a corresponding second system energy level in which the reset system is in a highest energy level and the target system is in a highest target system energy level, and waiting a time period. This will suppress the signal of the target element. This for example can be a signal of a solvent in NMR.
1 . A method for increasing entropy in a system, wherein the system comprises:
a target system having one or more target elements,
each target element having a first relaxation time,
the target system further having a set of target system energy levels; and
a reset system having one or more reset elements,
each reset element having a second relaxation time that is shorter than the first relaxation time,
the reset system further having a set of reset system energy levels;
the full system having a set of system energy levels that includes all possible combinations of target system energy levels and the reset system energy levels,
the method comprising:
iteratively applying a set of EM pulses to the system to effect swaps between a) a first system energy level in which the reset system of the system is in a highest energy level of the set of reset system energy levels and the target system of the system is in a lowest target system energy level of the set of target system energy levels, and b) a corresponding second system energy level in which the reset system is in a highest energy level of the set of reset system energy levels and the target system is in a highest target system energy level of the set of target system energy levels; and
waiting a time period that is on a order of the second relaxation time of a reset element and shorter than the first relaxation time of a target element, to facilitate at least some reset elements of the reset system resetting from the highest energy level.
2 . The method of claim 1 , wherein the target system comprises a plurality of target elements.
3 . The method of claim 1 , wherein the reset system comprises a plurality of reset elements.
4 . The method of claim 1 , wherein at least one target element is a spin.
5 . The method of claim 4 , wherein each target element is a multilevel quantum system.
6 . The method of claim 5 , wherein the multilevel quantum system is one of spin 1 particles and nitrogen vacancy (nv) centers.
7 . The method of claim 1 , wherein at least one reset element is a spin.
8 . The method of claim 7 , wherein each reset element is a multilevel quantum system.
9 . The method of claim 8 , wherein the multilevel quantum system is one of spin 1 particles and nitrogen vacancy (nv) centers.
10 . The method of claim 1 , wherein the target elements and the reset elements are spins.
11 . The method of claim 10 , wherein the target elements are comprised of a spin species different than the reset elements.
12 . The method of claim 1 , wherein one or both of the target elements and the reset elements are qubits.
13 . The method of claim 1 , wherein the set of EM pulses are applied to implement a sequence of quantum logic gates in order to effect swaps between the pairs of first quantum system energy levels and corresponding second quantum system energy levels.
14 . The method of claim 13 , wherein the quantum logic gates include a CNOT quantum gate with the reset element as a control.
15 . The method of claim 1 , wherein the second relaxation time is an effective relaxation time that is shorter than an intrinsic relaxation time of the reset elements.
16 . The method of claim 1 , wherein each iteration further comprises, during the waiting, manipulating the reset system to reduce the second relaxation time from the intrinsic relaxation time to the effective relaxation time.
17 . The method of claim 16 , wherein manipulating the reset system comprises performing one of optical polarization, optical pumping, and dynamic nuclear polarization.
18 . The method of claim 1 , wherein at least some of the pairs of first system energy levels and the corresponding second system energy levels correspond to one of entangled system states or non-diagonal system states.
19 . A non-transitory computer readable medium comprising computer executable instructions that, when executed, cause a computing device to increase entropy in a system, wherein the system comprises:
a target system having one or more target elements,
each target element having a first relaxation time,
the target system further having a set of target system energy levels; and
a reset system having one or more reset elements,
each reset element having a second relaxation time that is shorter than the first relaxation time,
the reset system further having a set of reset system energy levels;
the full system having a set of system energy levels that includes all possible combinations of target system energy levels and the reset system energy levels,
comprising computer-executable instructions for:
iteratively applying a set of EM pulses to the system to effect swaps between a) a first system energy level in which the reset system of the system is in a highest energy level of the set of reset system energy levels and the target system of the system is in a lowest target system energy level of the set of target system energy levels, and b) a corresponding second system energy level in which the reset system is in a highest energy level of the set of reset system energy levels and the target system is in a highest target system energy level of the set of target system energy levels; and
waiting a time period that is on a order of the second relaxation time of a reset element and shorter than the first relaxation time of a target element, to facilitate at least some reset elements of the reset system resetting from the highest energy level.
20 . A computing device comprising a processor and memory, the memory comprising computer executable instructions that, when executed by the processor, cause the device to increase entropy in a system, wherein the system comprises:
a target system having one or more target elements,
each target element having a first relaxation time,
the target system further having a set of target system energy levels; and
a reset system having one or more reset elements,
each reset element having a second relaxation time that is shorter than the first relaxation time,
the reset system further having a set of reset system energy levels;
the full system having a set of system energy levels that includes all possible combinations of target system energy levels and the reset system energy levels,
comprising computer-executable instructions for:
iteratively applying a set of EM pulses to the system to effect swaps between a) a first system energy level in which the reset system of the system is in a highest energy level of the set of reset system energy levels and the target system of the system is in a lowest target system energy level of the set of target system energy levels, and b) a corresponding second system energy level in which the reset system is in a highest energy level of the set of reset system energy levels and the target system is in a highest target system energy level of the set of target system energy levels; and
waiting a time period that is on a order of the second relaxation time of a reset element and shorter than the first relaxation time of a target element, to facilitate at least some reset elements of the reset system resetting from the highest energy level.