

[
Verse 1
] :

Boolean oracle hidden in n‑dimensional space.
Hadamard cascade spreads the input base.
Constant yield or balanced parity embrace.
Classical search runs exponential chase.

Tensor product binds the ancillary qubit.
Phase kickback imprints the global trait.
Interference patterns in Fourier’s gait.
Measurement collapses to decisive state.

[
Chorus
] :

Unveil the function’s core in singular strike.
Superposed realms where balances spike.
Constant calm or balanced divide.
Deutsch–Jozsa’s edge, quantum tide.

[
Verse 2
]:

Black‑box enigma, f maps all binary strings of length n to fate.
Promised constant or half‑half equate.
Quantum parallelism queries two to the n in unison.
No sequential probing, unified vision.

Like a cosmic coin in multiversal flip.
Two‑headed constant or fair balanced grip.
One superposed toss discerns the script.
Classical toil in two to the n minus one grips.

[
Chorus
]:

Unveil the function’s core in singular strike.
Superposed realms where balances spike.
Constant calm or balanced divide.
Deutsch–Jozsa’s edge, quantum tide.

[
Bridge
]:

Unitary oracle U‑f flips the phase domain.
Post‑Hadamard measurement seals the proclaim.
If all zeros gleam, constant regime.
Else balanced scheme in probabilistic dream.

Foundational pillar for Shor’s factorial might.
In quantum testing, oracles alight.
Like wave diffraction in slit array.
Constructive peaks for constants stay, destructive fray for balance play.

[
Breakdown
]:

Surrender sequential chains to parallel flight.
Embrace the superposition’s infinite sight.
No exhaustive search in classical night.
One invocation ignites the insight.

Expel the detritus of iterative plight.
Observe the global property in quantum light.
No redundancy, no exhaustion, oracle’s decree.
Exponential liberation in decoherence‑free.

[
Verse 3
]:

From NMR spectroscopy to photonic gate arrays.
Deutsch–Jozsa scales in experimental forays.
In quantum machine learning’s classification arrays.
Discerning function classes with oracle displays.

Comparable to spectral analysis in signal domain.
Decomposing harmonics in unified reign.
Theoretical beacon for advantage’s claim.
Revolutionizing black‑box interrogation’s game.

[
Chorus
]:

Unveil the function’s core in singular strike.
Superposed realms where balances spike.
Constant calm or balanced divide.
Deutsch–Jozsa’s edge, quantum tide.

[
Outro
]:

Query --- Discern --- Interfere --- Transcend.
Query --- Discern --- Interfere --- Transcend.

Oracle paradigms eternally ascend.


DEUTSCH - JOZSA ORACLE VEIL [A]

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