On the surface, the two world leaders making high-profile visits to the US have little in common, except that each stands at the head of more than one billion followers. Although Xi Jinping runs a global economic and military power while Pope Francis is a spiritual guide who, as Stalin observed, has no divisions, they do in fact share a common challenge.
Each is in the midst of a historic struggle to defeat an entrenched bureaucracy that has constrained predecessors. And in each case, the success of each leader's chosen mission will depend on how that struggle turns out.
For Xi, the structural challenge lies in the remarkably effective mechanisms of government developed by the Chinese Communist Party in the quarter-century since the Tiananmen crackdown in 1989.
Eschewing the cult of personality that had developed under Chairman Mao, the senior party leadership learned how to diffuse power among themselves.
Dispersing clout changed the struggle for advancement within the party from a winner-take-all contest into a game with multiple victors, taking the edge off its viciousness.
With the spreading of power came another innovation: after 10 years, the most senior leaders would rotate out of power. Mild transparency, and substantial continuity, would be afforded by determining the chain of succession well in advance. Thus Jiang Zemin gave way to Hu Jintao, and Hu in turn to Xi - all basically on schedule.
The predictability and regularity of this played an enormous role in China's stunning economic success.
The rising economic tide lifted the boats of senior leaders more than those of ordinary people as corruption worked its way into the system.
But arguably the creation of a class of rich senior party leaders had a positive effect on China during this era. Roughly speaking, the leadership's incentives were aligned with those of the country; the only way they could get rich was if the country did too. Xi now confronts the consequences.
Several hundred thousand party members are powerful enough to matter. All want to keep themselves well-off and, if possible, pass on their status and wealth to their children. Collectively, the party runs a huge risk if its corruption continues unabated.
Eventually, the Chinese public will get tired of seeing so much of the wealth it has created being diverted to an overclass. The risk is greater as China's economic growth slows.
Xi's response has been to consolidate power to a degree unknown since Deng Xiaoping retired almost 25 years ago. He's made himself more visible than recent leaders, hoping to develop charisma to support his efforts. But his anti-corruption campaign is the central plank in his efforts toward consolidation.
Xi has public-spirited reasons to reduce corruption within the Communist Party; yet he also knows that by doing so, his own authority will be enhanced.
The grand question facing Xi is whether to step down at the end of his 10-year presidential term, as his two predecessors did. That will be in 2023, and the job will be unfinished. But remaining in power would create a significant risk to the stability and continuity that has been crucial to China's advance.
Pope Francis has been the unlikely beneficiary of his own predecessor's unprecedented decision to step aside. Francis's papal legacy will depend to a large degree on his war against the Curia, a courtly bureaucracy far older than the Chinese Communist Party and arguably better entrenched.
To combat financial corruption, Francis has fired officials and appointed outside auditors. And he's repeatedly shown his contempt for bureaucracy, moving out of papal apartments and maintaining a second office out of the reach of Vatican officials.
Then there's the problem of accumulated wealth in the church. Francis appears to think of such wealth as corrupt and corrupting. And of course both inside and outside the Vatican, the echoes of scandal over sexual abuse by priests continue to resound.
The upshot is that, to a much greater extent than Xi, Francis is relying on symbolism and his own charisma as anti-corruption weapons. Part of this is in the nature of the job. Unlike Xi, Francis can't have corrupt officials jailed or executed. If Xi reminds some of Mao in his partial embrace of a cult of personality, Francis is looking to the precedent of Pope John Paul II, whose global popularity helped strengthen him within the church.
Observers of the modern papacy have suggested that no significant reform effort in the Vatican has succeeded in the last century. Does Francis have a chance of success? It's appealing to think that by appointing new cardinals and leading by humble example, Francis can break corruption.
But it's hard to change an institution without significant coercive power over the people who work there. Francis is a more inspiring figure than Xi. But his odds of defeating corruption are no better - and probably a bit worse. (Bloomberg View)